λ
Math Directory

1,459,896

23 × 3 × 59 × 1031
Abundant Even Composite

1,459,896 factors as 2^3 × 3 × 59 × 1031. Its 32 positive divisors give a proper-divisor sum of 2,255,304, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 59 × 1031
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,715,200
Proper Divisor Sum 2,255,304
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1459891 ← → #1459901

Radix Representation

Decimal 1459896
Binary 101100100011010111000 (21 bits)
Octal 0o5443270
Hexadecimal 0x1646B8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1,031 1,416 2,062 3,093 4,124 6,186 8,248 12,372 24,744 60,829 121,658 182,487 243,316 364,974 486,632 729,948 1,459,896

Collatz Trajectory (106 steps to reach 1)

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

1,459,896 729,948 364,974 182,487 547,462 273,731 821,194 410,597 1,231,792 615,896 307,948 153,974 76,987 230,962 115,481 346,444 173,222 86,611 259,834 129,917 389,752 194,876 97,438 48,719 146,158 73,079 219,238 109,619 328,858 164,429 493,288 246,644 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565

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