3,460,224

2⁷ × 3 × 9011

Starting at 3,460,224, the Collatz iteration reaches 1 after 45 steps. The first transition is 1730112; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 9011

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,192,240

Proper Divisor Sum 5,732,016

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3460217 ← → #3460243

Radix Representation

Decimal	3460224
Binary	1101001100110010000000 (22 bits)
Octal	0o15146200
Hexadecimal	0x34CC80

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 9,011 18,022 27,033 36,044 54,066 72,088 108,132 144,176 216,264 288,352 432,528 576,704 865,056 1,153,408 1,730,112 3,460,224

Collatz Trajectory (45 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,460,224 1,730,112 865,056 432,528 216,264 108,132 54,066 27,033 81,100 40,550 20,275 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

← Previous Integer #3,460,223 Browse Full Index Next Integer #3,460,225 →