λ
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7,863,576

23 × 3 × 7 × 46807
Abundant Even Composite

7,863,576 factors as 2^3 × 3 × 7 × 46807. Its 32 positive divisors give a proper-divisor sum of 14,604,264, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 46807
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,467,840
Proper Divisor Sum 14,604,264
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7863563 ← → #7863577

Radix Representation

Decimal 7863576
Binary 11101111111110100011000 (23 bits)
Octal 0o35776430
Hexadecimal 0x77FD18

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 46,807 93,614 140,421 187,228 280,842 327,649 374,456 561,684 655,298 982,947 1,123,368 1,310,596 1,965,894 2,621,192 3,931,788 7,863,576

Collatz Trajectory (186 steps to reach 1)

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

7,863,576 3,931,788 1,965,894 982,947 2,948,842 1,474,421 4,423,264 2,211,632 1,105,816 552,908 276,454 138,227 414,682 207,341 622,024 311,012 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390

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