57,668

2² × 13 × 1109

Starting at 57,668, the Collatz iteration reaches 1 after 166 steps. The first transition is 28834; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 1109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 108,780

Proper Divisor Sum 51,112

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #57667 ← → #57679

Radix Representation

Decimal	57668
Binary	1110000101000100 (16 bits)
Octal	0o160504
Hexadecimal	0xE144

Divisor Catalog (12)

1 2 4 13 26 52 1,109 2,218 4,436 14,417 28,834 57,668

Collatz Trajectory (166 steps to reach 1)

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

57,668 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62

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