λ
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Atlas › Integer Profiles › Node 98,232,512

98,232,512

26 × 7 × 29 × 7561
Abundant Even Composite

98,232,512 factors as 2^6 × 7 × 29 × 7561. Its 56 positive divisors give a proper-divisor sum of 132,257,248, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 29 × 7561
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 230,489,760
Proper Divisor Sum 132,257,248
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #98232503 ← → #98232529

Radix Representation

Decimal 98232512
Binary 101110110101110100011000000 (27 bits)
Octal 0o566564300
Hexadecimal 0x5DAE8C0

Divisor Catalog (56)

1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1,624 1,856 3,248 6,496 7,561 12,992 15,122 30,244 52,927 60,488 105,854 120,976 211,708 219,269 241,952 423,416 438,538 483,904 846,832 877,076 1,534,883 1,693,664 1,754,152 3,069,766 3,387,328 3,508,304 6,139,532 7,016,608 12,279,064 14,033,216 24,558,128 49,116,256 98,232,512

Collatz Trajectory (200 steps to reach 1)

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

98,232,512 49,116,256 24,558,128 12,279,064 6,139,532 3,069,766 1,534,883 4,604,650 2,302,325 6,906,976 3,453,488 1,726,744 863,372 431,686 215,843 647,530 323,765 971,296 485,648 242,824 121,412 60,706 30,353 91,060 45,530 22,765 68,296 34,148 17,074 8,537 25,612 12,806 6,403 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332

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