More like 500 times as much.
The following is from One Giant Leap: The Apollo Guidance Computer
Instruction Set: Approximately 20 instructions; 100 noun-verb pairs, data up to triple-precision
Word Length: 16 bits (14 bits + sign + parity)
Memory: ROM (rope core) 36K words; RAM (core) 2K words
Disk: None
I/O: DSKY (two per spacecraft)
Performance: approx. Add time - 20s
Basic machine cycle: 2.048 MHz
Technology: RTL bipolar logic (flat pack)
Size: AGC - 24" x 12.5" x 6" (HWD); DSKY - 8" x 8" x 7" (HWD)
Weight: AGC - 70 lbs; DSKY - 17.5 lbs
Number produced: AGC - 75; DSKY: 138
Cost: Unknown.
Power consumption: Operating: 70W @ 28VDC; Standby 15.0
The Droid RAZR has a 1Ghz processor -- about 500 times faster -- the computational speed (since it is geometric) of your PDA is probably about 5,000 - 10,000 as fast. And they used storage in KB. We do GB so you probably have millions more storage capacity than the Apollo 11 (AND ALL ITS GROUND BRETHEREN).
Today’s smart phones have more computing power than the Apollo. They’ve surpassed it. Faster processors and graphics abilities as well.
The typical cell phone now probably has more computing power than all of NASA's ground computers in 1969. The Apollo 11 computer had 4 kB of RAM, 72 kB of ROM and ran at a break neck speed of 2 MHz. A typical smart phone will have tens or hundreds of megabytes of RAM, gigabytes of flash memory and run at around 1 GHz, all on top of having a wider bus width, fewer cycles per instruction and more powerful individual instructions. So roughly the cell phone will typically have 32,000x the RAM, 50,000x the permanent memory (or vastly more if you stick in a 32 GB card) and run at a few thousand times the speed.
Today’s cellphones have more power than yesterday’s Crays and VAXen. And what is that power used for? Displaying pretty pitchers, pinging phone towers, saving battery power. There is no comparison, because it’s not about power, it’s about functionality. All that power of cellphones is wasted.
The Apollo flight computer had 4k of RAM and a 2 MHz processor. A smartphone of today has that beat by 2 or 3 orders of magnitude.
Heck, by its release in 1976, the Commodore 64, had more memory and more computing power than the AGC computers on the Moon missions. The AGCs were 16bit computers but had only 4k of memory. The Smartphones of today are FAR more powerful than even the computers that ran the Space Shuttles.