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Atlas › Integer Profiles › Node 12,732,012

12,732,012

22 × 33 × 117889
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 117889
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 33,009,200
Proper Divisor Sum 20,277,188
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #12732007 ← → #12732019

Radix Representation

Decimal 12732012
Binary 110000100100011001101100 (24 bits)
Octal 0o60443154
Hexadecimal 0xC2466C

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 117,889 235,778 353,667 471,556 707,334 1,061,001 1,414,668 2,122,002 3,183,003 4,244,004 6,366,006 12,732,012

Collatz Trajectory (166 steps to reach 1)

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

12,732,012 6,366,006 3,183,003 9,549,010 4,774,505 14,323,516 7,161,758 3,580,879 10,742,638 5,371,319 16,113,958 8,056,979 24,170,938 12,085,469 36,256,408 18,128,204 9,064,102 4,532,051 13,596,154 6,798,077 20,394,232 10,197,116 5,098,558 2,549,279 7,647,838 3,823,919 11,471,758 5,735,879 17,207,638 8,603,819 25,811,458 12,905,729 38,717,188 19,358,594 9,679,297 29,037,892 14,518,946 7,259,473 21,778,420 10,889,210 5,444,605 16,333,816 8,166,908 4,083,454 2,041,727 6,125,182 3,062,591 9,187,774 4,593,887 13,781,662 6,890,831 20,672,494 10,336,247 31,008,742 15,504,371 46,513,114 23,256,557 69,769,672 34,884,836 17,442,418

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