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Atlas › Integer Profiles › Node 2,990,628

2,990,628

22 × 33 × 27691
Abundant Even Composite

2,990,628 factors as 2^2 × 3^3 × 27691. Its 24 positive divisors give a proper-divisor sum of 4,763,132, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 27691
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,753,760
Proper Divisor Sum 4,763,132
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2990609 ← → #2990629

Radix Representation

Decimal 2990628
Binary 1011011010001000100100 (22 bits)
Octal 0o13321044
Hexadecimal 0x2DA224

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 27,691 55,382 83,073 110,764 166,146 249,219 332,292 498,438 747,657 996,876 1,495,314 2,990,628

Collatz Trajectory (112 steps to reach 1)

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

2,990,628 1,495,314 747,657 2,242,972 1,121,486 560,743 1,682,230 841,115 2,523,346 1,261,673 3,785,020 1,892,510 946,255 2,838,766 1,419,383 4,258,150 2,129,075 6,387,226 3,193,613 9,580,840 4,790,420 2,395,210 1,197,605 3,592,816 1,796,408 898,204 449,102 224,551 673,654 336,827 1,010,482 505,241 1,515,724 757,862 378,931 1,136,794 568,397 1,705,192 852,596 426,298 213,149 639,448 319,724 159,862 79,931 239,794 119,897 359,692 179,846 89,923 269,770 134,885 404,656 202,328 101,164 50,582 25,291 75,874 37,937 113,812

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