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Atlas › Integer Profiles › Node 80,832,004

80,832,004

22 × 11 × 19 × 31 × 3119
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 31 × 3119
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 167,731,200
Proper Divisor Sum 86,899,196
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #80831987 ← → #80832029

Radix Representation

Decimal 80832004
Binary 100110100010110011000000100 (27 bits)
Octal 0o464263004
Hexadecimal 0x4D16604

Divisor Catalog (48)

1 2 4 11 19 22 31 38 44 62 76 124 209 341 418 589 682 836 1,178 1,364 2,356 3,119 6,238 6,479 12,476 12,958 25,916 34,309 59,261 68,618 96,689 118,522 137,236 193,378 237,044 386,756 651,871 1,063,579 1,303,742 1,837,091 2,127,158 2,607,484 3,674,182 4,254,316 7,348,364 20,208,001 40,416,002 80,832,004

Collatz Trajectory (161 steps to reach 1)

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

80,832,004 40,416,002 20,208,001 60,624,004 30,312,002 15,156,001 45,468,004 22,734,002 11,367,001 34,101,004 17,050,502 8,525,251 25,575,754 12,787,877 38,363,632 19,181,816 9,590,908 4,795,454 2,397,727 7,193,182 3,596,591 10,789,774 5,394,887 16,184,662 8,092,331 24,276,994 12,138,497 36,415,492 18,207,746 9,103,873 27,311,620 13,655,810 6,827,905 20,483,716 10,241,858 5,120,929 15,362,788 7,681,394 3,840,697 11,522,092 5,761,046 2,880,523 8,641,570 4,320,785 12,962,356 6,481,178 3,240,589 9,721,768 4,860,884 2,430,442 1,215,221 3,645,664 1,822,832 911,416 455,708 227,854 113,927 341,782 170,891 512,674

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