λ
Ratio Atlas

8,596,336

24 × 7 × 76753
Abundant Even Composite

8,596,336 factors as 2^4 × 7 × 76753. Its 20 positive divisors give a proper-divisor sum of 10,438,656, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 76753
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,034,992
Proper Divisor Sum 10,438,656
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8596333 ← → #8596369

Radix Representation

Decimal 8596336
Binary 100000110010101101110000 (24 bits)
Octal 0o40625560
Hexadecimal 0x832B70

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 76,753 153,506 307,012 537,271 614,024 1,074,542 1,228,048 2,149,084 4,298,168 8,596,336

Collatz Trajectory (75 steps to reach 1)

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

8,596,336 4,298,168 2,149,084 1,074,542 537,271 1,611,814 805,907 2,417,722 1,208,861 3,626,584 1,813,292 906,646 453,323 1,359,970 679,985 2,039,956 1,019,978 509,989 1,529,968 764,984 382,492 191,246 95,623 286,870 143,435 430,306 215,153 645,460 322,730 161,365 484,096 242,048 121,024 60,512 30,256 15,128 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44

More profiles

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