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8,680,665

3 × 5 × 7 × 47 × 1759
Deficient Odd Composite

8,680,665 factors as 3 × 5 × 7 × 47 × 1759. Its 32 positive divisors give a proper-divisor sum of 7,539,495, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 47 × 1759
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,220,160
Proper Divisor Sum 7,539,495
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8680631 ← → #8680669

Radix Representation

Decimal 8680665
Binary 100001000111010011011001 (24 bits)
Octal 0o41072331
Hexadecimal 0x8474D9

Divisor Catalog (32)

1 3 5 7 15 21 35 47 105 141 235 329 705 987 1,645 1,759 4,935 5,277 8,795 12,313 26,385 36,939 61,565 82,673 184,695 248,019 413,365 578,711 1,240,095 1,736,133 2,893,555 8,680,665

Collatz Trajectory (67 steps to reach 1)

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

8,680,665 26,041,996 13,020,998 6,510,499 19,531,498 9,765,749 29,297,248 14,648,624 7,324,312 3,662,156 1,831,078 915,539 2,746,618 1,373,309 4,119,928 2,059,964 1,029,982 514,991 1,544,974 772,487 2,317,462 1,158,731 3,476,194 1,738,097 5,214,292 2,607,146 1,303,573 3,910,720 1,955,360 977,680 488,840 244,420 122,210 61,105 183,316 91,658 45,829 137,488 68,744 34,372 17,186 8,593 25,780 12,890 6,445 19,336 9,668 4,834 2,417 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256

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