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Atlas › Integer Profiles › Node 12,831,728

12,831,728

24 × 72 × 13 × 1259
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7^2 × 13 × 1259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 31,169,880
Proper Divisor Sum 18,338,152
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #12831701 ← → #12831739

Radix Representation

Decimal 12831728
Binary 110000111100101111110000 (24 bits)
Octal 0o60745760
Hexadecimal 0xC3CBF0

Divisor Catalog (60)

1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1,259 1,274 1,456 2,518 2,548 5,036 5,096 8,813 10,072 10,192 16,367 17,626 20,144 32,734 35,252 61,691 65,468 70,504 114,569 123,382 130,936 141,008 229,138 246,764 261,872 458,276 493,528 801,983 916,552 987,056 1,603,966 1,833,104 3,207,932 6,415,864 12,831,728

Collatz Trajectory (148 steps to reach 1)

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

12,831,728 6,415,864 3,207,932 1,603,966 801,983 2,405,950 1,202,975 3,608,926 1,804,463 5,413,390 2,706,695 8,120,086 4,060,043 12,180,130 6,090,065 18,270,196 9,135,098 4,567,549 13,702,648 6,851,324 3,425,662 1,712,831 5,138,494 2,569,247 7,707,742 3,853,871 11,561,614 5,780,807 17,342,422 8,671,211 26,013,634 13,006,817 39,020,452 19,510,226 9,755,113 29,265,340 14,632,670 7,316,335 21,949,006 10,974,503 32,923,510 16,461,755 49,385,266 24,692,633 74,077,900 37,038,950 18,519,475 55,558,426 27,779,213 83,337,640 41,668,820 20,834,410 10,417,205 31,251,616 15,625,808 7,812,904 3,906,452 1,953,226 976,613 2,929,840

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