157,660

2² × 5 × 7883

157,660 factors as 2^2 × 5 × 7883. Its 12 positive divisors give a proper-divisor sum of 173,468, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7883

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 331,128

Proper Divisor Sum 173,468

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #157649 ← → #157667

Radix Representation

Decimal	157660
Binary	100110011111011100 (18 bits)
Octal	0o463734
Hexadecimal	0x267DC

Divisor Catalog (12)

1 2 4 5 10 20 7,883 15,766 31,532 39,415 78,830 157,660

Collatz Trajectory (201 steps to reach 1)

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

157,660 78,830 39,415 118,246 59,123 177,370 88,685 266,056 133,028 66,514 33,257 99,772 49,886 24,943 74,830 37,415 112,246 56,123 168,370 84,185 252,556 126,278 63,139 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001

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