8,618,320

2⁴ × 5 × 17 × 6337

8,618,320 factors as 2^4 × 5 × 17 × 6337. Its 40 positive divisors give a proper-divisor sum of 12,601,304, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 6337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 21,219,624

Proper Divisor Sum 12,601,304

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8618317 ← → #8618327

Radix Representation

Decimal	8618320
Binary	100000111000000101010000 (24 bits)
Octal	0o40700520
Hexadecimal	0x838150

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 6,337 12,674 25,348 31,685 50,696 63,370 101,392 107,729 126,740 215,458 253,480 430,916 506,960 538,645 861,832 1,077,290 1,723,664 2,154,580 4,309,160 8,618,320

Collatz Trajectory (75 steps to reach 1)

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

8,618,320 4,309,160 2,154,580 1,077,290 538,645 1,615,936 807,968 403,984 201,992 100,996 50,498 25,249 75,748 37,874 18,937 56,812 28,406 14,203 42,610 21,305 63,916 31,958 15,979 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44

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