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Atlas › Integer Profiles › Node 97,442,512

97,442,512

24 × 59 × 109 × 947
Deficient Even Composite

97,442,512 factors as 2^4 × 59 × 109 × 947. Its 40 positive divisors give a proper-divisor sum of 96,518,288, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^4 × 59 × 109 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 193,960,800
Proper Divisor Sum 96,518,288
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #97442503 ← → #97442519

Radix Representation

Decimal 97442512
Binary 101110011101101101011010000 (27 bits)
Octal 0o563555320
Hexadecimal 0x5CEDAD0

Divisor Catalog (40)

1 2 4 8 16 59 109 118 218 236 436 472 872 944 947 1,744 1,894 3,788 6,431 7,576 12,862 15,152 25,724 51,448 55,873 102,896 103,223 111,746 206,446 223,492 412,892 446,984 825,784 893,968 1,651,568 6,090,157 12,180,314 24,360,628 48,721,256 97,442,512

Collatz Trajectory (231 steps to reach 1)

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

97,442,512 48,721,256 24,360,628 12,180,314 6,090,157 18,270,472 9,135,236 4,567,618 2,283,809 6,851,428 3,425,714 1,712,857 5,138,572 2,569,286 1,284,643 3,853,930 1,926,965 5,780,896 2,890,448 1,445,224 722,612 361,306 180,653 541,960 270,980 135,490 67,745 203,236 101,618 50,809 152,428 76,214 38,107 114,322 57,161 171,484 85,742 42,871 128,614 64,307 192,922 96,461 289,384 144,692 72,346 36,173 108,520 54,260 27,130 13,565 40,696 20,348 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171

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