λ
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Atlas › Integer Profiles › Node 58,752,304

58,752,304

24 × 13 × 23 × 12281
Abundant Even Composite

58,752,304 factors as 2^4 × 13 × 23 × 12281. Its 40 positive divisors give a proper-divisor sum of 69,177,008, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 23 × 12281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 127,929,312
Proper Divisor Sum 69,177,008
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #58752301 ← → #58752307

Radix Representation

Decimal 58752304
Binary 11100000000111110100110000 (26 bits)
Octal 0o340076460
Hexadecimal 0x3807D30

Divisor Catalog (40)

1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1,196 2,392 4,784 12,281 24,562 49,124 98,248 159,653 196,496 282,463 319,306 564,926 638,612 1,129,852 1,277,224 2,259,704 2,554,448 3,672,019 4,519,408 7,344,038 14,688,076 29,376,152 58,752,304

Collatz Trajectory (181 steps to reach 1)

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

58,752,304 29,376,152 14,688,076 7,344,038 3,672,019 11,016,058 5,508,029 16,524,088 8,262,044 4,131,022 2,065,511 6,196,534 3,098,267 9,294,802 4,647,401 13,942,204 6,971,102 3,485,551 10,456,654 5,228,327 15,684,982 7,842,491 23,527,474 11,763,737 35,291,212 17,645,606 8,822,803 26,468,410 13,234,205 39,702,616 19,851,308 9,925,654 4,962,827 14,888,482 7,444,241 22,332,724 11,166,362 5,583,181 16,749,544 8,374,772 4,187,386 2,093,693 6,281,080 3,140,540 1,570,270 785,135 2,355,406 1,177,703 3,533,110 1,766,555 5,299,666 2,649,833 7,949,500 3,974,750 1,987,375 5,962,126 2,981,063 8,943,190 4,471,595 13,414,786

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