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Atlas › Integer Profiles › Node 15,917,280

15,917,280

25 × 3 × 5 × 33161
Abundant Even Composite

15,917,280 factors as 2^5 × 3 × 5 × 33161. Its 48 positive divisors give a proper-divisor sum of 34,223,664, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 33161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 50,140,944
Proper Divisor Sum 34,223,664
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #15917273 ← → #15917281

Radix Representation

Decimal 15917280
Binary 111100101110000011100000 (24 bits)
Octal 0o74560340
Hexadecimal 0xF2E0E0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 33,161 66,322 99,483 132,644 165,805 198,966 265,288 331,610 397,932 497,415 530,576 663,220 795,864 994,830 1,061,152 1,326,440 1,591,728 1,989,660 2,652,880 3,183,456 3,979,320 5,305,760 7,958,640 15,917,280

Collatz Trajectory (187 steps to reach 1)

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

15,917,280 7,958,640 3,979,320 1,989,660 994,830 497,415 1,492,246 746,123 2,238,370 1,119,185 3,357,556 1,678,778 839,389 2,518,168 1,259,084 629,542 314,771 944,314 472,157 1,416,472 708,236 354,118 177,059 531,178 265,589 796,768 398,384 199,192 99,596 49,798 24,899 74,698 37,349 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806

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