8,288,456

2³ × 11 × 97 × 971

8,288,456 factors as 2^3 × 11 × 97 × 971. Its 32 positive divisors give a proper-divisor sum of 8,857,624, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 97 × 971

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,146,080

Proper Divisor Sum 8,857,624

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8288453 ← → #8288459

Radix Representation

Decimal	8288456
Binary	11111100111100011001000 (23 bits)
Octal	0o37474310
Hexadecimal	0x7E78C8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 97 194 388 776 971 1,067 1,942 2,134 3,884 4,268 7,768 8,536 10,681 21,362 42,724 85,448 94,187 188,374 376,748 753,496 1,036,057 2,072,114 4,144,228 8,288,456

Collatz Trajectory (137 steps to reach 1)

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

8,288,456 4,144,228 2,072,114 1,036,057 3,108,172 1,554,086 777,043 2,331,130 1,165,565 3,496,696 1,748,348 874,174 437,087 1,311,262 655,631 1,966,894 983,447 2,950,342 1,475,171 4,425,514 2,212,757 6,638,272 3,319,136 1,659,568 829,784 414,892 207,446 103,723 311,170 155,585 466,756 233,378 116,689 350,068 175,034 87,517 262,552 131,276 65,638 32,819 98,458 49,229 147,688 73,844 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764

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