8,345,967

3 × 7 × 397427

8,345,967 factors as 3 × 7 × 397427. Its 8 positive divisors give a proper-divisor sum of 4,371,729, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3 × 7 × 397427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,717,696

Proper Divisor Sum 4,371,729

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8345951 ← → #8345969

Radix Representation

Decimal	8345967
Binary	11111110101100101101111 (23 bits)
Octal	0o37654557
Hexadecimal	0x7F596F

Divisor Catalog (8)

1 3 7 21 397,427 1,192,281 2,781,989 8,345,967

Collatz Trajectory (106 steps to reach 1)

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

8,345,967 25,037,902 12,518,951 37,556,854 18,778,427 56,335,282 28,167,641 84,502,924 42,251,462 21,125,731 63,377,194 31,688,597 95,065,792 47,532,896 23,766,448 11,883,224 5,941,612 2,970,806 1,485,403 4,456,210 2,228,105 6,684,316 3,342,158 1,671,079 5,013,238 2,506,619 7,519,858 3,759,929 11,279,788 5,639,894 2,819,947 8,459,842 4,229,921 12,689,764 6,344,882 3,172,441 9,517,324 4,758,662 2,379,331 7,137,994 3,568,997 10,706,992 5,353,496 2,676,748 1,338,374 669,187 2,007,562 1,003,781 3,011,344 1,505,672 752,836 376,418 188,209 564,628 282,314 141,157 423,472 211,736 105,868 52,934

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