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Atlas › Integer Profiles › Node 8,268,496

8,268,496

24 × 19 × 59 × 461
Abundant Even Composite

8,268,496 factors as 2^4 × 19 × 59 × 461. Its 40 positive divisors give a proper-divisor sum of 8,917,904, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 59 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,186,400
Proper Divisor Sum 8,917,904
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8268493 ← → #8268497

Radix Representation

Decimal 8268496
Binary 11111100010101011010000 (23 bits)
Octal 0o37425320
Hexadecimal 0x7E2AD0

Divisor Catalog (40)

1 2 4 8 16 19 38 59 76 118 152 236 304 461 472 922 944 1,121 1,844 2,242 3,688 4,484 7,376 8,759 8,968 17,518 17,936 27,199 35,036 54,398 70,072 108,796 140,144 217,592 435,184 516,781 1,033,562 2,067,124 4,134,248 8,268,496

Collatz Trajectory (106 steps to reach 1)

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

8,268,496 4,134,248 2,067,124 1,033,562 516,781 1,550,344 775,172 387,586 193,793 581,380 290,690 145,345 436,036 218,018 109,009 327,028 163,514 81,757 245,272 122,636 61,318 30,659 91,978 45,989 137,968 68,984 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486

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