λ
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Atlas › Integer Profiles › Node 96,024,700

96,024,700

22 × 52 × 127 × 7561
Abundant Even Composite

96,024,700 factors as 2^2 × 5^2 × 127 × 7561. Its 36 positive divisors give a proper-divisor sum of 114,017,412, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 127 × 7561
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 210,042,112
Proper Divisor Sum 114,017,412
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #96024679 ← → #96024707

Radix Representation

Decimal 96024700
Binary 101101110010011100001111100 (27 bits)
Octal 0o556234174
Hexadecimal 0x5B9387C

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 127 254 508 635 1,270 2,540 3,175 6,350 7,561 12,700 15,122 30,244 37,805 75,610 151,220 189,025 378,050 756,100 960,247 1,920,494 3,840,988 4,801,235 9,602,470 19,204,940 24,006,175 48,012,350 96,024,700

Collatz Trajectory (117 steps to reach 1)

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

96,024,700 48,012,350 24,006,175 72,018,526 36,009,263 108,027,790 54,013,895 162,041,686 81,020,843 243,062,530 121,531,265 364,593,796 182,296,898 91,148,449 273,445,348 136,722,674 68,361,337 205,084,012 102,542,006 51,271,003 153,813,010 76,906,505 230,719,516 115,359,758 57,679,879 173,039,638 86,519,819 259,559,458 129,779,729 389,339,188 194,669,594 97,334,797 292,004,392 146,002,196 73,001,098 36,500,549 109,501,648 54,750,824 27,375,412 13,687,706 6,843,853 20,531,560 10,265,780 5,132,890 2,566,445 7,699,336 3,849,668 1,924,834 962,417 2,887,252 1,443,626 721,813 2,165,440 1,082,720 541,360 270,680 135,340 67,670 33,835 101,506

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