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Atlas › Integer Profiles › Node 12,802,488

12,802,488

23 × 3 × 103 × 5179
Abundant Even Composite

12,802,488 factors as 2^3 × 3 × 103 × 5179. Its 32 positive divisors give a proper-divisor sum of 19,520,712, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 103 × 5179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,323,200
Proper Divisor Sum 19,520,712
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #12802487 ← → #12802529

Radix Representation

Decimal 12802488
Binary 110000110101100110111000 (24 bits)
Octal 0o60654670
Hexadecimal 0xC359B8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 103 206 309 412 618 824 1,236 2,472 5,179 10,358 15,537 20,716 31,074 41,432 62,148 124,296 533,437 1,066,874 1,600,311 2,133,748 3,200,622 4,267,496 6,401,244 12,802,488

Collatz Trajectory (96 steps to reach 1)

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

12,802,488 6,401,244 3,200,622 1,600,311 4,800,934 2,400,467 7,201,402 3,600,701 10,802,104 5,401,052 2,700,526 1,350,263 4,050,790 2,025,395 6,076,186 3,038,093 9,114,280 4,557,140 2,278,570 1,139,285 3,417,856 1,708,928 854,464 427,232 213,616 106,808 53,404 26,702 13,351 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258

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