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Atlas › Integer Profiles › Node 10,197,152

10,197,152

25 × 7 × 45523
Abundant Even Composite

10,197,152 factors as 2^5 × 7 × 45523. Its 24 positive divisors give a proper-divisor sum of 12,746,944, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 45523
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,944,096
Proper Divisor Sum 12,746,944
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10197137 ← → #10197157

Radix Representation

Decimal 10197152
Binary 100110111001100010100000 (24 bits)
Octal 0o46714240
Hexadecimal 0x9B98A0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 45,523 91,046 182,092 318,661 364,184 637,322 728,368 1,274,644 1,456,736 2,549,288 5,098,576 10,197,152

Collatz Trajectory (83 steps to reach 1)

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

10,197,152 5,098,576 2,549,288 1,274,644 637,322 318,661 955,984 477,992 238,996 119,498 59,749 179,248 89,624 44,812 22,406 11,203 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304

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