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Atlas › Integer Profiles › Node 9,730,752

9,730,752

26 × 3 × 59 × 859
Abundant Even Composite

9,730,752 factors as 2^6 × 3 × 59 × 859. Its 56 positive divisors give a proper-divisor sum of 16,482,048, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 59 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 26,212,800
Proper Divisor Sum 16,482,048
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9730751 ← → #9730753

Radix Representation

Decimal 9730752
Binary 100101000111101011000000 (24 bits)
Octal 0o45075300
Hexadecimal 0x947AC0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 859 944 1,416 1,718 1,888 2,577 2,832 3,436 3,776 5,154 5,664 6,872 10,308 11,328 13,744 20,616 27,488 41,232 50,681 54,976 82,464 101,362 152,043 164,928 202,724 304,086 405,448 608,172 810,896 1,216,344 1,621,792 2,432,688 3,243,584 4,865,376 9,730,752

Collatz Trajectory (101 steps to reach 1)

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

9,730,752 4,865,376 2,432,688 1,216,344 608,172 304,086 152,043 456,130 228,065 684,196 342,098 171,049 513,148 256,574 128,287 384,862 192,431 577,294 288,647 865,942 432,971 1,298,914 649,457 1,948,372 974,186 487,093 1,461,280 730,640 365,320 182,660 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287

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