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Atlas › Integer Profiles › Node 15,479,260

15,479,260

22 × 5 × 79 × 97 × 101
Abundant Even Composite

15,479,260 factors as 2^2 × 5 × 79 × 97 × 101. Its 48 positive divisors give a proper-divisor sum of 18,107,300, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 79 × 97 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,586,560
Proper Divisor Sum 18,107,300
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #15479257 ← → #15479273

Radix Representation

Decimal 15479260
Binary 111011000011000111011100 (24 bits)
Octal 0o73030734
Hexadecimal 0xEC31DC

Divisor Catalog (48)

1 2 4 5 10 20 79 97 101 158 194 202 316 388 395 404 485 505 790 970 1,010 1,580 1,940 2,020 7,663 7,979 9,797 15,326 15,958 19,594 30,652 31,916 38,315 39,188 39,895 48,985 76,630 79,790 97,970 153,260 159,580 195,940 773,963 1,547,926 3,095,852 3,869,815 7,739,630 15,479,260

Collatz Trajectory (187 steps to reach 1)

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

15,479,260 7,739,630 3,869,815 11,609,446 5,804,723 17,414,170 8,707,085 26,121,256 13,060,628 6,530,314 3,265,157 9,795,472 4,897,736 2,448,868 1,224,434 612,217 1,836,652 918,326 459,163 1,377,490 688,745 2,066,236 1,033,118 516,559 1,549,678 774,839 2,324,518 1,162,259 3,486,778 1,743,389 5,230,168 2,615,084 1,307,542 653,771 1,961,314 980,657 2,941,972 1,470,986 735,493 2,206,480 1,103,240 551,620 275,810 137,905 413,716 206,858 103,429 310,288 155,144 77,572 38,786 19,393 58,180 29,090 14,545 43,636 21,818 10,909 32,728 16,364

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