8,707,672

2³ × 17 × 43 × 1489

8,707,672 factors as 2^3 × 17 × 43 × 1489. Its 32 positive divisors give a proper-divisor sum of 8,993,528, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 43 × 1489

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,701,200

Proper Divisor Sum 8,993,528

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8707669 ← → #8707687

Radix Representation

Decimal	8707672
Binary	100001001101111001011000 (24 bits)
Octal	0o41157130
Hexadecimal	0x84DE58

Divisor Catalog (32)

1 2 4 8 17 34 43 68 86 136 172 344 731 1,462 1,489 2,924 2,978 5,848 5,956 11,912 25,313 50,626 64,027 101,252 128,054 202,504 256,108 512,216 1,088,459 2,176,918 4,353,836 8,707,672

Collatz Trajectory (106 steps to reach 1)

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

8,707,672 4,353,836 2,176,918 1,088,459 3,265,378 1,632,689 4,898,068 2,449,034 1,224,517 3,673,552 1,836,776 918,388 459,194 229,597 688,792 344,396 172,198 86,099 258,298 129,149 387,448 193,724 96,862 48,431 145,294 72,647 217,942 108,971 326,914 163,457 490,372 245,186 122,593 367,780 183,890 91,945 275,836 137,918 68,959 206,878 103,439 310,318 155,159 465,478 232,739 698,218 349,109 1,047,328 523,664 261,832 130,916 65,458 32,729 98,188 49,094 24,547 73,642 36,821 110,464 55,232

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