131,957

7² × 2693

Starting at 131,957, the Collatz iteration reaches 1 after 100 steps. The first transition is 395872; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 2693

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 153,558

Proper Divisor Sum 21,601

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #131947 ← → #131959

Radix Representation

Decimal	131957
Binary	100000001101110101 (18 bits)
Octal	0o401565
Hexadecimal	0x20375

Divisor Catalog (6)

1 7 49 2,693 18,851 131,957

Collatz Trajectory (100 steps to reach 1)

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

131,957 395,872 197,936 98,968 49,484 24,742 12,371 37,114 18,557 55,672 27,836 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838

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