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Atlas › Integer Profiles › Node 3,931,344

3,931,344

24 × 32 × 23 × 1187
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 23 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 11,490,336
Proper Divisor Sum 7,558,992
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3931331 ← → #3931349

Radix Representation

Decimal 3931344
Binary 1110111111110011010000 (22 bits)
Octal 0o16776320
Hexadecimal 0x3BFCD0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1,104 1,187 1,656 2,374 3,312 3,561 4,748 7,122 9,496 10,683 14,244 18,992 21,366 27,301 28,488 42,732 54,602 56,976 81,903 85,464 109,204 163,806 170,928 218,408 245,709 327,612 436,816 491,418 655,224 982,836 1,310,448 1,965,672 3,931,344

Collatz Trajectory (66 steps to reach 1)

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

3,931,344 1,965,672 982,836 491,418 245,709 737,128 368,564 184,282 92,141 276,424 138,212 69,106 34,553 103,660 51,830 25,915 77,746 38,873 116,620 58,310 29,155 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20

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