58,933,240

2³ × 5 × 1473331

58,933,240 factors as 2^3 × 5 × 1473331. Its 16 positive divisors give a proper-divisor sum of 73,666,640, so this integer is abundant. The Collatz stopping time is 344 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 1473331

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 132,599,880

Proper Divisor Sum 73,666,640

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #58933183 ← → #58933243

Radix Representation

Decimal	58933240
Binary	11100000110011111111111000 (26 bits)
Octal	0o340637770
Hexadecimal	0x3833FF8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 1,473,331 2,946,662 5,893,324 7,366,655 11,786,648 14,733,310 29,466,620 58,933,240

Collatz Trajectory (344 steps to reach 1)

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

58,933,240 29,466,620 14,733,310 7,366,655 22,099,966 11,049,983 33,149,950 16,574,975 49,724,926 24,862,463 74,587,390 37,293,695 111,881,086 55,940,543 167,821,630 83,910,815 251,732,446 125,866,223 377,598,670 188,799,335 566,398,006 283,199,003 849,597,010 424,798,505 1,274,395,516 637,197,758 318,598,879 955,796,638 477,898,319 1,433,694,958 716,847,479 2,150,542,438 1,075,271,219 3,225,813,658 1,612,906,829 4,838,720,488 2,419,360,244 1,209,680,122 604,840,061 1,814,520,184 907,260,092 453,630,046 226,815,023 680,445,070 340,222,535 1,020,667,606 510,333,803 1,531,001,410 765,500,705 2,296,502,116 1,148,251,058 574,125,529 1,722,376,588 861,188,294 430,594,147 1,291,782,442 645,891,221 1,937,673,664 968,836,832 484,418,416

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