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Atlas › Integer Profiles › Node 12,437,720

12,437,720

23 × 5 × 139 × 2237
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 139 × 2237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,198,800
Proper Divisor Sum 15,761,080
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #12437701 ← → #12437743

Radix Representation

Decimal 12437720
Binary 101111011100100011011000 (24 bits)
Octal 0o57344330
Hexadecimal 0xBDC8D8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 139 278 556 695 1,112 1,390 2,237 2,780 4,474 5,560 8,948 11,185 17,896 22,370 44,740 89,480 310,943 621,886 1,243,772 1,554,715 2,487,544 3,109,430 6,218,860 12,437,720

Collatz Trajectory (272 steps to reach 1)

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

12,437,720 6,218,860 3,109,430 1,554,715 4,664,146 2,332,073 6,996,220 3,498,110 1,749,055 5,247,166 2,623,583 7,870,750 3,935,375 11,806,126 5,903,063 17,709,190 8,854,595 26,563,786 13,281,893 39,845,680 19,922,840 9,961,420 4,980,710 2,490,355 7,471,066 3,735,533 11,206,600 5,603,300 2,801,650 1,400,825 4,202,476 2,101,238 1,050,619 3,151,858 1,575,929 4,727,788 2,363,894 1,181,947 3,545,842 1,772,921 5,318,764 2,659,382 1,329,691 3,989,074 1,994,537 5,983,612 2,991,806 1,495,903 4,487,710 2,243,855 6,731,566 3,365,783 10,097,350 5,048,675 15,146,026 7,573,013 22,719,040 11,359,520 5,679,760 2,839,880

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