112,572

2² × 3² × 53 × 59

112,572 factors as 2^2 × 3^2 × 53 × 59. Its 36 positive divisors give a proper-divisor sum of 182,268, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 53 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 294,840

Proper Divisor Sum 182,268

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #112571 ← → #112573

Radix Representation

Decimal	112572
Binary	11011011110111100 (17 bits)
Octal	0o333674
Hexadecimal	0x1B7BC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 53 59 106 118 159 177 212 236 318 354 477 531 636 708 954 1,062 1,908 2,124 3,127 6,254 9,381 12,508 18,762 28,143 37,524 56,286 112,572

Collatz Trajectory (84 steps to reach 1)

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

112,572 56,286 28,143 84,430 42,215 126,646 63,323 189,970 94,985 284,956 142,478 71,239 213,718 106,859 320,578 160,289 480,868 240,434 120,217 360,652 180,326 90,163 270,490 135,245 405,736 202,868 101,434 50,717 152,152 76,076 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048 8,024 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292

← Previous Integer #112,571 Browse Full Index Next Integer #112,573 →