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Atlas › Integer Profiles › Node 12,966,200

12,966,200

23 × 52 × 13 × 4987
Abundant Even Composite

12,966,200 factors as 2^3 × 5^2 × 13 × 4987. Its 48 positive divisors give a proper-divisor sum of 19,505,680, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 4987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,471,880
Proper Divisor Sum 19,505,680
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #12966197 ← → #12966229

Radix Representation

Decimal 12966200
Binary 110001011101100100111000 (24 bits)
Octal 0o61354470
Hexadecimal 0xC5D938

Divisor Catalog (48)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1,300 2,600 4,987 9,974 19,948 24,935 39,896 49,870 64,831 99,740 124,675 129,662 199,480 249,350 259,324 324,155 498,700 518,648 648,310 997,400 1,296,620 1,620,775 2,593,240 3,241,550 6,483,100 12,966,200

Collatz Trajectory (117 steps to reach 1)

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

12,966,200 6,483,100 3,241,550 1,620,775 4,862,326 2,431,163 7,293,490 3,646,745 10,940,236 5,470,118 2,735,059 8,205,178 4,102,589 12,307,768 6,153,884 3,076,942 1,538,471 4,615,414 2,307,707 6,923,122 3,461,561 10,384,684 5,192,342 2,596,171 7,788,514 3,894,257 11,682,772 5,841,386 2,920,693 8,762,080 4,381,040 2,190,520 1,095,260 547,630 273,815 821,446 410,723 1,232,170 616,085 1,848,256 924,128 462,064 231,032 115,516 57,758 28,879 86,638 43,319 129,958 64,979 194,938 97,469 292,408 146,204 73,102 36,551 109,654 54,827 164,482 82,241

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