469,656

2³ × 3² × 11 × 593

Starting at 469,656, the Collatz iteration reaches 1 after 81 steps. The first transition is 234828; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,389,960

Proper Divisor Sum 920,304

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #469649 ← → #469657

Radix Representation

Decimal	469656
Binary	1110010101010011000 (19 bits)
Octal	0o1625230
Hexadecimal	0x72A98

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 593 792 1,186 1,779 2,372 3,558 4,744 5,337 6,523 7,116 10,674 13,046 14,232 19,569 21,348 26,092 39,138 42,696 52,184 58,707 78,276 117,414 156,552 234,828 469,656

Collatz Trajectory (81 steps to reach 1)

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

469,656 234,828 117,414 58,707 176,122 88,061 264,184 132,092 66,046 33,023 99,070 49,535 148,606 74,303 222,910 111,455 334,366 167,183 501,550 250,775 752,326 376,163 1,128,490 564,245 1,692,736 846,368 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497

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