λ
Prime Ledger

9,001,256

23 × 11 × 233 × 439
Abundant Even Composite

9,001,256 has the prime decomposition 2^3 × 11 × 233 × 439. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 233 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,532,800
Proper Divisor Sum 9,531,544
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9001243 ← → #9001259

Radix Representation

Decimal 9001256
Binary 100010010101100100101000 (24 bits)
Octal 0o42254450
Hexadecimal 0x895928

Divisor Catalog (32)

1 2 4 8 11 22 44 88 233 439 466 878 932 1,756 1,864 2,563 3,512 4,829 5,126 9,658 10,252 19,316 20,504 38,632 102,287 204,574 409,148 818,296 1,125,157 2,250,314 4,500,628 9,001,256

Collatz Trajectory (150 steps to reach 1)

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

9,001,256 4,500,628 2,250,314 1,125,157 3,375,472 1,687,736 843,868 421,934 210,967 632,902 316,451 949,354 474,677 1,424,032 712,016 356,008 178,004 89,002 44,501 133,504 66,752 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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