100,492

2² × 7 × 37 × 97

100,492 factors as 2^2 × 7 × 37 × 97. Its 24 positive divisors give a proper-divisor sum of 108,052, so this integer is abundant. The Collatz stopping time is 40 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 208,544

Proper Divisor Sum 108,052

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #100483 ← → #100493

Radix Representation

Decimal	100492
Binary	11000100010001100 (17 bits)
Octal	0o304214
Hexadecimal	0x1888C

Divisor Catalog (24)

1 2 4 7 14 28 37 74 97 148 194 259 388 518 679 1,036 1,358 2,716 3,589 7,178 14,356 25,123 50,246 100,492

Collatz Trajectory (40 steps to reach 1)

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

100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

← Previous Integer #100,491 Browse Full Index Next Integer #100,493 →