924,072

2³ × 3 × 139 × 277

Starting at 924,072, the Collatz iteration reaches 1 after 51 steps. The first transition is 462036; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 139 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,335,200

Proper Divisor Sum 1,411,128

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #924059 ← → #924073

Radix Representation

Decimal	924072
Binary	11100001100110101000 (20 bits)
Octal	0o3414650
Hexadecimal	0xE19A8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 139 277 278 417 554 556 831 834 1,108 1,112 1,662 1,668 2,216 3,324 3,336 6,648 38,503 77,006 115,509 154,012 231,018 308,024 462,036 924,072

Collatz Trajectory (51 steps to reach 1)

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

924,072 462,036 231,018 115,509 346,528 173,264 86,632 43,316 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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