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Atlas › Integer Profiles › Node 9,757,720

9,757,720

23 × 5 × 7 × 34849
Abundant Even Composite

9,757,720 factors as 2^3 × 5 × 7 × 34849. Its 32 positive divisors give a proper-divisor sum of 15,334,280, so this integer is abundant. The Collatz stopping time is 44 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 34849
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,092,000
Proper Divisor Sum 15,334,280
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9757703 ← → #9757723

Radix Representation

Decimal 9757720
Binary 100101001110010000011000 (24 bits)
Octal 0o45162030
Hexadecimal 0x94E418

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 34,849 69,698 139,396 174,245 243,943 278,792 348,490 487,886 696,980 975,772 1,219,715 1,393,960 1,951,544 2,439,430 4,878,860 9,757,720

Collatz Trajectory (44 steps to reach 1)

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

9,757,720 4,878,860 2,439,430 1,219,715 3,659,146 1,829,573 5,488,720 2,744,360 1,372,180 686,090 343,045 1,029,136 514,568 257,284 128,642 64,321 192,964 96,482 48,241 144,724 72,362 36,181 108,544 54,272 27,136 13,568 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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