8,366,176

2⁵ × 7 × 13³ × 17

8,366,176 factors as 2^5 × 7 × 13^3 × 17. Its 96 positive divisors give a proper-divisor sum of 13,225,184, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 13^3 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,591,360

Proper Divisor Sum 13,225,184

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8366167 ← → #8366191

Radix Representation

Decimal	8366176
Binary	11111111010100001100000 (23 bits)
Octal	0o37724140
Hexadecimal	0x7FA860

Divisor Catalog (60 of 96)

1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 169 182 208 221 224 238 272 338 364 416 442 476 544 676 728 884 952 1,183 1,352 1,456 1,547 1,768 1,904 2,197 2,366 2,704 2,873 2,912 3,094 3,536 3,808 4,394 4,732 5,408 5,746 6,188 7,072 8,788 9,464

Collatz Trajectory (75 steps to reach 1)

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

8,366,176 4,183,088 2,091,544 1,045,772 522,886 261,443 784,330 392,165 1,176,496 588,248 294,124 147,062 73,531 220,594 110,297 330,892 165,446 82,723 248,170 124,085 372,256 186,128 93,064 46,532 23,266 11,633 34,900 17,450 8,725 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

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