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Atlas › Integer Profiles › Node 23,572,302

23,572,302

2 × 3 × 13 × 17 × 29 × 613
Abundant Even Composite

23,572,302 factors as 2 × 3 × 13 × 17 × 29 × 613. Its 64 positive divisors give a proper-divisor sum of 32,129,778, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 17 × 29 × 613
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 55,702,080
Proper Divisor Sum 32,129,778
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #23572301 ← → #23572303

Radix Representation

Decimal 23572302
Binary 1011001111010111101001110 (25 bits)
Octal 0o131727516
Hexadecimal 0x167AF4E

Divisor Catalog (60 of 64)

1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 174 221 377 442 493 613 663 754 986 1,131 1,226 1,326 1,479 1,839 2,262 2,958 3,678 6,409 7,969 10,421 12,818 15,938 17,777 19,227 20,842 23,907 31,263 35,554 38,454 47,814 53,331 62,526 106,662 135,473 231,101 270,946 302,209 406,419 462,202 604,418 693,303 812,838 906,627 1,386,606 1,813,254

Collatz Trajectory (247 steps to reach 1)

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

23,572,302 11,786,151 35,358,454 17,679,227 53,037,682 26,518,841 79,556,524 39,778,262 19,889,131 59,667,394 29,833,697 89,501,092 44,750,546 22,375,273 67,125,820 33,562,910 16,781,455 50,344,366 25,172,183 75,516,550 37,758,275 113,274,826 56,637,413 169,912,240 84,956,120 42,478,060 21,239,030 10,619,515 31,858,546 15,929,273 47,787,820 23,893,910 11,946,955 35,840,866 17,920,433 53,761,300 26,880,650 13,440,325 40,320,976 20,160,488 10,080,244 5,040,122 2,520,061 7,560,184 3,780,092 1,890,046 945,023 2,835,070 1,417,535 4,252,606 2,126,303 6,378,910 3,189,455 9,568,366 4,784,183 14,352,550 7,176,275 21,528,826 10,764,413 32,293,240

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