λ
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Atlas › Integer Profiles › Node 28,869,720

28,869,720

23 × 3 × 5 × 11 × 21871
Abundant Even Composite

28,869,720 factors as 2^3 × 3 × 5 × 11 × 21871. Its 64 positive divisors give a proper-divisor sum of 65,617,320, so this integer is abundant. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 21871
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 94,487,040
Proper Divisor Sum 65,617,320
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #28869719 ← → #28869751

Radix Representation

Decimal 28869720
Binary 1101110001000010001011000 (25 bits)
Octal 0o156102130
Hexadecimal 0x1B88458

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 21,871 43,742 65,613 87,484 109,355 131,226 174,968 218,710 240,581 262,452 328,065 437,420 481,162 524,904 656,130 721,743 874,840 962,324 1,202,905 1,312,260 1,443,486 1,924,648 2,405,810 2,624,520 2,886,972 3,608,715 4,811,620 5,773,944

Collatz Trajectory (237 steps to reach 1)

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

28,869,720 14,434,860 7,217,430 3,608,715 10,826,146 5,413,073 16,239,220 8,119,610 4,059,805 12,179,416 6,089,708 3,044,854 1,522,427 4,567,282 2,283,641 6,850,924 3,425,462 1,712,731 5,138,194 2,569,097 7,707,292 3,853,646 1,926,823 5,780,470 2,890,235 8,670,706 4,335,353 13,006,060 6,503,030 3,251,515 9,754,546 4,877,273 14,631,820 7,315,910 3,657,955 10,973,866 5,486,933 16,460,800 8,230,400 4,115,200 2,057,600 1,028,800 514,400 257,200 128,600 64,300 32,150 16,075 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087

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