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Atlas › Integer Profiles › Node 98,536,720

98,536,720

24 × 5 × 1231709
Abundant Even Composite

98,536,720 factors as 2^4 × 5 × 1231709. Its 20 positive divisors give a proper-divisor sum of 130,561,340, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 1231709
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 229,098,060
Proper Divisor Sum 130,561,340
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #98536703 ← → #98536721

Radix Representation

Decimal 98536720
Binary 101110111111000110100010000 (27 bits)
Octal 0o567706420
Hexadecimal 0x5DF8D10

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 1,231,709 2,463,418 4,926,836 6,158,545 9,853,672 12,317,090 19,707,344 24,634,180 49,268,360 98,536,720

Collatz Trajectory (81 steps to reach 1)

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

98,536,720 49,268,360 24,634,180 12,317,090 6,158,545 18,475,636 9,237,818 4,618,909 13,856,728 6,928,364 3,464,182 1,732,091 5,196,274 2,598,137 7,794,412 3,897,206 1,948,603 5,845,810 2,922,905 8,768,716 4,384,358 2,192,179 6,576,538 3,288,269 9,864,808 4,932,404 2,466,202 1,233,101 3,699,304 1,849,652 924,826 462,413 1,387,240 693,620 346,810 173,405 520,216 260,108 130,054 65,027 195,082 97,541 292,624 146,312 73,156 36,578 18,289 54,868 27,434 13,717 41,152 20,576 10,288 5,144 2,572 1,286 643 1,930 965 2,896

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