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Atlas › Integer Profiles › Node 80,928,480

80,928,480

25 × 3 × 5 × 168601
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 168601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 254,926,224
Proper Divisor Sum 173,997,744
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #80928479 ← → #80928481

Radix Representation

Decimal 80928480
Binary 100110100101101111011100000 (27 bits)
Octal 0o464557340
Hexadecimal 0x4D2DEE0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 168,601 337,202 505,803 674,404 843,005 1,011,606 1,348,808 1,686,010 2,023,212 2,529,015 2,697,616 3,372,020 4,046,424 5,058,030 5,395,232 6,744,040 8,092,848 10,116,060 13,488,080 16,185,696 20,232,120 26,976,160 40,464,240 80,928,480

Collatz Trajectory (161 steps to reach 1)

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

80,928,480 40,464,240 20,232,120 10,116,060 5,058,030 2,529,015 7,587,046 3,793,523 11,380,570 5,690,285 17,070,856 8,535,428 4,267,714 2,133,857 6,401,572 3,200,786 1,600,393 4,801,180 2,400,590 1,200,295 3,600,886 1,800,443 5,401,330 2,700,665 8,101,996 4,050,998 2,025,499 6,076,498 3,038,249 9,114,748 4,557,374 2,278,687 6,836,062 3,418,031 10,254,094 5,127,047 15,381,142 7,690,571 23,071,714 11,535,857 34,607,572 17,303,786 8,651,893 25,955,680 12,977,840 6,488,920 3,244,460 1,622,230 811,115 2,433,346 1,216,673 3,650,020 1,825,010 912,505 2,737,516 1,368,758 684,379 2,053,138 1,026,569 3,079,708

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