7,716,136

2³ × 964517

7,716,136 factors as 2^3 × 964517. Its 8 positive divisors give a proper-divisor sum of 6,751,634, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^3 × 964517

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,467,770

Proper Divisor Sum 6,751,634

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7716127 ← → #7716143

Radix Representation

Decimal	7716136
Binary	11101011011110100101000 (23 bits)
Octal	0o35336450
Hexadecimal	0x75BD28

Divisor Catalog (8)

1 2 4 8 964,517 1,929,034 3,858,068 7,716,136

Collatz Trajectory (72 steps to reach 1)

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

7,716,136 3,858,068 1,929,034 964,517 2,893,552 1,446,776 723,388 361,694 180,847 542,542 271,271 813,814 406,907 1,220,722 610,361 1,831,084 915,542 457,771 1,373,314 686,657 2,059,972 1,029,986 514,993 1,544,980 772,490 386,245 1,158,736 579,368 289,684 144,842 72,421 217,264 108,632 54,316 27,158 13,579 40,738 20,369 61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360

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