8,317,127

7 × 13 × 91397

8,317,127 factors as 7 × 13 × 91397. Its 8 positive divisors give a proper-divisor sum of 1,919,449, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 7 × 13 × 91397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,236,576

Proper Divisor Sum 1,919,449

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8317121 ← → #8317157

Radix Representation

Decimal	8317127
Binary	11111101110100011000111 (23 bits)
Octal	0o37564307
Hexadecimal	0x7EE8C7

Divisor Catalog (8)

1 7 13 91 91,397 639,779 1,188,161 8,317,127

Collatz Trajectory (168 steps to reach 1)

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

8,317,127 24,951,382 12,475,691 37,427,074 18,713,537 56,140,612 28,070,306 14,035,153 42,105,460 21,052,730 10,526,365 31,579,096 15,789,548 7,894,774 3,947,387 11,842,162 5,921,081 17,763,244 8,881,622 4,440,811 13,322,434 6,661,217 19,983,652 9,991,826 4,995,913 14,987,740 7,493,870 3,746,935 11,240,806 5,620,403 16,861,210 8,430,605 25,291,816 12,645,908 6,322,954 3,161,477 9,484,432 4,742,216 2,371,108 1,185,554 592,777 1,778,332 889,166 444,583 1,333,750 666,875 2,000,626 1,000,313 3,000,940 1,500,470 750,235 2,250,706 1,125,353 3,376,060 1,688,030 844,015 2,532,046 1,266,023 3,798,070 1,899,035

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