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Atlas › Integer Profiles › Node 3,039,740

3,039,740

22 × 5 × 11 × 41 × 337
Abundant Even Composite

3,039,740 factors as 2^2 × 5 × 11 × 41 × 337. Its 48 positive divisors give a proper-divisor sum of 4,115,044, so this integer is abundant. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 41 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,154,784
Proper Divisor Sum 4,115,044
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3039737 ← → #3039761

Radix Representation

Decimal 3039740
Binary 1011100110000111111100 (22 bits)
Octal 0o13460774
Hexadecimal 0x2E61FC

Divisor Catalog (48)

1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 337 410 451 674 820 902 1,348 1,685 1,804 2,255 3,370 3,707 4,510 6,740 7,414 9,020 13,817 14,828 18,535 27,634 37,070 55,268 69,085 74,140 138,170 151,987 276,340 303,974 607,948 759,935 1,519,870 3,039,740

Collatz Trajectory (226 steps to reach 1)

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

3,039,740 1,519,870 759,935 2,279,806 1,139,903 3,419,710 1,709,855 5,129,566 2,564,783 7,694,350 3,847,175 11,541,526 5,770,763 17,312,290 8,656,145 25,968,436 12,984,218 6,492,109 19,476,328 9,738,164 4,869,082 2,434,541 7,303,624 3,651,812 1,825,906 912,953 2,738,860 1,369,430 684,715 2,054,146 1,027,073 3,081,220 1,540,610 770,305 2,310,916 1,155,458 577,729 1,733,188 866,594 433,297 1,299,892 649,946 324,973 974,920 487,460 243,730 121,865 365,596 182,798 91,399 274,198 137,099 411,298 205,649 616,948 308,474 154,237 462,712 231,356 115,678

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