λ
Sigma Notebook

9,232,512

27 × 3 × 24043
Abundant Even Composite

9,232,512 is even and not a perfect square. Its factorization is 2^7 × 3 × 24043 and its 32 divisors sum to 24,524,880.

Prime Factor Structure

Factorization String 2^7 × 3 × 24043
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,524,880
Proper Divisor Sum 15,292,368
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9232507 ← → #9232543

Radix Representation

Decimal 9232512
Binary 100011001110000010000000 (24 bits)
Octal 0o43160200
Hexadecimal 0x8CE080

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 24,043 48,086 72,129 96,172 144,258 192,344 288,516 384,688 577,032 769,376 1,154,064 1,538,752 2,308,128 3,077,504 4,616,256 9,232,512

Collatz Trajectory (132 steps to reach 1)

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

9,232,512 4,616,256 2,308,128 1,154,064 577,032 288,516 144,258 72,129 216,388 108,194 54,097 162,292 81,146 40,573 121,720 60,860 30,430 15,215 45,646 22,823 68,470 34,235 102,706 51,353 154,060 77,030 38,515 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627

More profiles

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