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Atlas › Integer Profiles › Node 9,700,524

9,700,524

22 × 32 × 467 × 577
Abundant Even Composite

9,700,524 factors as 2^2 × 3^2 × 467 × 577. Its 36 positive divisors give a proper-divisor sum of 14,915,340, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 467 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,615,864
Proper Divisor Sum 14,915,340
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9700519 ← → #9700541

Radix Representation

Decimal 9700524
Binary 100101000000010010101100 (24 bits)
Octal 0o45002254
Hexadecimal 0x9404AC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 467 577 934 1,154 1,401 1,731 1,868 2,308 2,802 3,462 4,203 5,193 5,604 6,924 8,406 10,386 16,812 20,772 269,459 538,918 808,377 1,077,836 1,616,754 2,425,131 3,233,508 4,850,262 9,700,524

Collatz Trajectory (207 steps to reach 1)

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

9,700,524 4,850,262 2,425,131 7,275,394 3,637,697 10,913,092 5,456,546 2,728,273 8,184,820 4,092,410 2,046,205 6,138,616 3,069,308 1,534,654 767,327 2,301,982 1,150,991 3,452,974 1,726,487 5,179,462 2,589,731 7,769,194 3,884,597 11,653,792 5,826,896 2,913,448 1,456,724 728,362 364,181 1,092,544 546,272 273,136 136,568 68,284 34,142 17,071 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258

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