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Atlas › Integer Profiles › Node 12,922,720

12,922,720

25 × 5 × 17 × 4751
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 17 × 4751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,332,608
Proper Divisor Sum 19,409,888
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #12922709 ← → #12922727

Radix Representation

Decimal 12922720
Binary 110001010010111101100000 (24 bits)
Octal 0o61227540
Hexadecimal 0xC52F60

Divisor Catalog (48)

1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1,360 2,720 4,751 9,502 19,004 23,755 38,008 47,510 76,016 80,767 95,020 152,032 161,534 190,040 323,068 380,080 403,835 646,136 760,160 807,670 1,292,272 1,615,340 2,584,544 3,230,680 6,461,360 12,922,720

Collatz Trajectory (166 steps to reach 1)

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

12,922,720 6,461,360 3,230,680 1,615,340 807,670 403,835 1,211,506 605,753 1,817,260 908,630 454,315 1,362,946 681,473 2,044,420 1,022,210 511,105 1,533,316 766,658 383,329 1,149,988 574,994 287,497 862,492 431,246 215,623 646,870 323,435 970,306 485,153 1,455,460 727,730 363,865 1,091,596 545,798 272,899 818,698 409,349 1,228,048 614,024 307,012 153,506 76,753 230,260 115,130 57,565 172,696 86,348 43,174 21,587 64,762 32,381 97,144 48,572 24,286 12,143 36,430 18,215 54,646 27,323 81,970

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