λ
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Atlas › Integer Profiles › Node 72,940,868

72,940,868

22 × 7 × 11 × 13 × 18217
Abundant Even Composite

72,940,868 factors as 2^2 × 7 × 11 × 13 × 18217. Its 48 positive divisors give a proper-divisor sum of 98,454,076, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 13 × 18217
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 171,394,944
Proper Divisor Sum 98,454,076
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #72940859 ← → #72940871

Radix Representation

Decimal 72940868
Binary 100010110001111110101000100 (27 bits)
Octal 0o426176504
Hexadecimal 0x458FD44

Divisor Catalog (48)

1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1,001 2,002 4,004 18,217 36,434 72,868 127,519 200,387 236,821 255,038 400,774 473,642 510,076 801,548 947,284 1,402,709 1,657,747 2,605,031 2,805,418 3,315,494 5,210,062 5,610,836 6,630,988 10,420,124 18,235,217 36,470,434 72,940,868

Collatz Trajectory (109 steps to reach 1)

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

72,940,868 36,470,434 18,235,217 54,705,652 27,352,826 13,676,413 41,029,240 20,514,620 10,257,310 5,128,655 15,385,966 7,692,983 23,078,950 11,539,475 34,618,426 17,309,213 51,927,640 25,963,820 12,981,910 6,490,955 19,472,866 9,736,433 29,209,300 14,604,650 7,302,325 21,906,976 10,953,488 5,476,744 2,738,372 1,369,186 684,593 2,053,780 1,026,890 513,445 1,540,336 770,168 385,084 192,542 96,271 288,814 144,407 433,222 216,611 649,834 324,917 974,752 487,376 243,688 121,844 60,922 30,461 91,384 45,692 22,846 11,423 34,270 17,135 51,406 25,703 77,110

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