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Atlas › Integer Profiles › Node 4,159,480

4,159,480

23 × 5 × 13 × 19 × 421
Abundant Even Composite

4,159,480 factors as 2^3 × 5 × 13 × 19 × 421. Its 64 positive divisors give a proper-divisor sum of 6,474,920, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 19 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,634,400
Proper Divisor Sum 6,474,920
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4159471 ← → #4159501

Radix Representation

Decimal 4159480
Binary 1111110111011111111000 (22 bits)
Octal 0o17673770
Hexadecimal 0x3F77F8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 421 494 520 760 842 988 1,235 1,684 1,976 2,105 2,470 3,368 4,210 4,940 5,473 7,999 8,420 9,880 10,946 15,998 16,840 21,892 27,365 31,996 39,995 43,784 54,730 63,992 79,990 103,987 109,460 159,980 207,974 218,920 319,960 415,948 519,935

Collatz Trajectory (185 steps to reach 1)

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

4,159,480 2,079,740 1,039,870 519,935 1,559,806 779,903 2,339,710 1,169,855 3,509,566 1,754,783 5,264,350 2,632,175 7,896,526 3,948,263 11,844,790 5,922,395 17,767,186 8,883,593 26,650,780 13,325,390 6,662,695 19,988,086 9,994,043 29,982,130 14,991,065 44,973,196 22,486,598 11,243,299 33,729,898 16,864,949 50,594,848 25,297,424 12,648,712 6,324,356 3,162,178 1,581,089 4,743,268 2,371,634 1,185,817 3,557,452 1,778,726 889,363 2,668,090 1,334,045 4,002,136 2,001,068 1,000,534 500,267 1,500,802 750,401 2,251,204 1,125,602 562,801 1,688,404 844,202 422,101 1,266,304 633,152 316,576 158,288

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