λ
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75,864,816

24 × 33 × 151 × 1163
Abundant Even Composite

75,864,816 factors as 2^4 × 3^3 × 151 × 1163. Its 80 positive divisors give a proper-divisor sum of 143,525,904, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 151 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 219,390,720
Proper Divisor Sum 143,525,904
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #75864799 ← → #75864827

Radix Representation

Decimal 75864816
Binary 100100001011001101011110000 (27 bits)
Octal 0o441315360
Hexadecimal 0x4859AF0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 151 216 302 432 453 604 906 1,163 1,208 1,359 1,812 2,326 2,416 2,718 3,489 3,624 4,077 4,652 5,436 6,978 7,248 8,154 9,304 10,467 10,872 13,956 16,308 18,608 20,934 21,744 27,912 31,401 32,616 41,868 55,824 62,802 65,232 83,736 125,604 167,472 175,613 251,208

Collatz Trajectory (104 steps to reach 1)

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

75,864,816 37,932,408 18,966,204 9,483,102 4,741,551 14,224,654 7,112,327 21,336,982 10,668,491 32,005,474 16,002,737 48,008,212 24,004,106 12,002,053 36,006,160 18,003,080 9,001,540 4,500,770 2,250,385 6,751,156 3,375,578 1,687,789 5,063,368 2,531,684 1,265,842 632,921 1,898,764 949,382 474,691 1,424,074 712,037 2,136,112 1,068,056 534,028 267,014 133,507 400,522 200,261 600,784 300,392 150,196 75,098 37,549 112,648 56,324 28,162 14,081 42,244 21,122 10,561 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228

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