42,579,400

2³ × 5² × 212897

42,579,400 factors as 2^3 × 5^2 × 212897. Its 24 positive divisors give a proper-divisor sum of 56,418,170, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 212897

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 98,997,570

Proper Divisor Sum 56,418,170

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #42579391 ← → #42579401

Radix Representation

Decimal	42579400
Binary	10100010011011010111001000 (26 bits)
Octal	0o242332710
Hexadecimal	0x289B5C8

Divisor Catalog (24)

Collatz Trajectory (121 steps to reach 1)

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

42,579,400 21,289,700 10,644,850 5,322,425 15,967,276 7,983,638 3,991,819 11,975,458 5,987,729 17,963,188 8,981,594 4,490,797 13,472,392 6,736,196 3,368,098 1,684,049 5,052,148 2,526,074 1,263,037 3,789,112 1,894,556 947,278 473,639 1,420,918 710,459 2,131,378 1,065,689 3,197,068 1,598,534 799,267 2,397,802 1,198,901 3,596,704 1,798,352 899,176 449,588 224,794 112,397 337,192 168,596 84,298 42,149 126,448 63,224 31,612 15,806 7,903 23,710 11,855 35,566 17,783 53,350 26,675 80,026 40,013 120,040 60,020 30,010 15,005 45,016

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