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9,753,760

25 × 5 × 60961
Abundant Even Composite

9,753,760 factors as 2^5 × 5 × 60961. Its 24 positive divisors give a proper-divisor sum of 13,289,876, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 60961
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,043,636
Proper Divisor Sum 13,289,876
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9753739 ← → #9753761

Radix Representation

Decimal 9753760
Binary 100101001101010010100000 (24 bits)
Octal 0o45152240
Hexadecimal 0x94D4A0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 60,961 121,922 243,844 304,805 487,688 609,610 975,376 1,219,220 1,950,752 2,438,440 4,876,880 9,753,760

Collatz Trajectory (207 steps to reach 1)

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

9,753,760 4,876,880 2,438,440 1,219,220 609,610 304,805 914,416 457,208 228,604 114,302 57,151 171,454 85,727 257,182 128,591 385,774 192,887 578,662 289,331 867,994 433,997 1,301,992 650,996 325,498 162,749 488,248 244,124 122,062 61,031 183,094 91,547 274,642 137,321 411,964 205,982 102,991 308,974 154,487 463,462 231,731 695,194 347,597 1,042,792 521,396 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992 27,496 13,748 6,874 3,437 10,312

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