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Atlas › Integer Profiles › Node 12,646,172

12,646,172

22 × 7 × 11 × 19 × 2161
Abundant Even Composite

12,646,172 factors as 2^2 × 7 × 11 × 19 × 2161. Its 48 positive divisors give a proper-divisor sum of 16,411,108, so this integer is abundant. The Collatz stopping time is 334 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 19 × 2161
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,057,280
Proper Divisor Sum 16,411,108
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #12646141 ← → #12646177

Radix Representation

Decimal 12646172
Binary 110000001111011100011100 (24 bits)
Octal 0o60173434
Hexadecimal 0xC0F71C

Divisor Catalog (48)

1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1,463 2,161 2,926 4,322 5,852 8,644 15,127 23,771 30,254 41,059 47,542 60,508 82,118 95,084 164,236 166,397 287,413 332,794 451,649 574,826 665,588 903,298 1,149,652 1,806,596 3,161,543 6,323,086 12,646,172

Collatz Trajectory (334 steps to reach 1)

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

12,646,172 6,323,086 3,161,543 9,484,630 4,742,315 14,226,946 7,113,473 21,340,420 10,670,210 5,335,105 16,005,316 8,002,658 4,001,329 12,003,988 6,001,994 3,000,997 9,002,992 4,501,496 2,250,748 1,125,374 562,687 1,688,062 844,031 2,532,094 1,266,047 3,798,142 1,899,071 5,697,214 2,848,607 8,545,822 4,272,911 12,818,734 6,409,367 19,228,102 9,614,051 28,842,154 14,421,077 43,263,232 21,631,616 10,815,808 5,407,904 2,703,952 1,351,976 675,988 337,994 168,997 506,992 253,496 126,748 63,374 31,687 95,062 47,531 142,594 71,297 213,892 106,946 53,473 160,420 80,210

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