116,732

2² × 7 × 11 × 379

Starting at 116,732, the Collatz iteration reaches 1 after 92 steps. The first transition is 58366; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 255,360

Proper Divisor Sum 138,628

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #116731 ← → #116741

Radix Representation

Decimal	116732
Binary	11100011111111100 (17 bits)
Octal	0o343774
Hexadecimal	0x1C7FC

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 379 758 1,516 2,653 4,169 5,306 8,338 10,612 16,676 29,183 58,366 116,732

Collatz Trajectory (92 steps to reach 1)

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

116,732 58,366 29,183 87,550 43,775 131,326 65,663 196,990 98,495 295,486 147,743 443,230 221,615 664,846 332,423 997,270 498,635 1,495,906 747,953 2,243,860 1,121,930 560,965 1,682,896 841,448 420,724 210,362 105,181 315,544 157,772 78,886 39,443 118,330 59,165 177,496 88,748 44,374 22,187 66,562 33,281 99,844 49,922 24,961 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444

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