57,908

2² × 31 × 467

Starting at 57,908, the Collatz iteration reaches 1 after 60 steps. The first transition is 28954; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 104,832

Proper Divisor Sum 46,924

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #57901 ← → #57917

Radix Representation

Decimal	57908
Binary	1110001000110100 (16 bits)
Octal	0o161064
Hexadecimal	0xE234

Divisor Catalog (12)

1 2 4 31 62 124 467 934 1,868 14,477 28,954 57,908

Collatz Trajectory (60 steps to reach 1)

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

57,908 28,954 14,477 43,432 21,716 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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