42,579,402

2 × 3 × 41 × 173087

42,579,402 factors as 2 × 3 × 41 × 173087. Its 16 positive divisors give a proper-divisor sum of 44,656,950, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 173087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 87,236,352

Proper Divisor Sum 44,656,950

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #42579401 ← → #42579409

Radix Representation

Decimal	42579402
Binary	10100010011011010111001010 (26 bits)
Octal	0o242332712
Hexadecimal	0x289B5CA

Divisor Catalog (16)

1 2 3 6 41 82 123 246 173,087 346,174 519,261 1,038,522 7,096,567 14,193,134 21,289,701 42,579,402

Collatz Trajectory (121 steps to reach 1)

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

42,579,402 21,289,701 63,869,104 31,934,552 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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