λ
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868,960

25 × 5 × 5431
Abundant Even Composite

868,960 factors as 2^5 × 5 × 5431. Its 24 positive divisors give a proper-divisor sum of 1,184,336, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 5431
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,053,296
Proper Divisor Sum 1,184,336
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #868957 ← → #868993

Radix Representation

Decimal 868960
Binary 11010100001001100000 (20 bits)
Octal 0o3241140
Hexadecimal 0xD4260

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 5,431 10,862 21,724 27,155 43,448 54,310 86,896 108,620 173,792 217,240 434,480 868,960

Collatz Trajectory (95 steps to reach 1)

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

868,960 434,480 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920

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