λ
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Atlas › Integer Profiles › Node 23,524,270

23,524,270

2 × 5 × 7 × 11 × 137 × 223
Abundant Even Composite

23,524,270 factors as 2 × 5 × 7 × 11 × 137 × 223. Its 64 positive divisors give a proper-divisor sum of 29,891,666, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 137 × 223
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 53,415,936
Proper Divisor Sum 29,891,666
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #23524247 ← → #23524279

Radix Representation

Decimal 23524270
Binary 1011001101111001110101110 (25 bits)
Octal 0o131571656
Hexadecimal 0x166F3AE

Divisor Catalog (60 of 64)

1 2 5 7 10 11 14 22 35 55 70 77 110 137 154 223 274 385 446 685 770 959 1,115 1,370 1,507 1,561 1,918 2,230 2,453 3,014 3,122 4,795 4,906 7,535 7,805 9,590 10,549 12,265 15,070 15,610 17,171 21,098 24,530 30,551 34,342 52,745 61,102 85,855 105,490 152,755 171,710 213,857 305,510 336,061 427,714 672,122 1,069,285 1,680,305 2,138,570 2,352,427

Collatz Trajectory (247 steps to reach 1)

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

23,524,270 11,762,135 35,286,406 17,643,203 52,929,610 26,464,805 79,394,416 39,697,208 19,848,604 9,924,302 4,962,151 14,886,454 7,443,227 22,329,682 11,164,841 33,494,524 16,747,262 8,373,631 25,120,894 12,560,447 37,681,342 18,840,671 56,522,014 28,261,007 84,783,022 42,391,511 127,174,534 63,587,267 190,761,802 95,380,901 286,142,704 143,071,352 71,535,676 35,767,838 17,883,919 53,651,758 26,825,879 80,477,638 40,238,819 120,716,458 60,358,229 181,074,688 90,537,344 45,268,672 22,634,336 11,317,168 5,658,584 2,829,292 1,414,646 707,323 2,121,970 1,060,985 3,182,956 1,591,478 795,739 2,387,218 1,193,609 3,580,828 1,790,414 895,207

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