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Atlas › Integer Profiles › Node 17,042,560

17,042,560

27 × 5 × 31 × 859
Abundant Even Composite

17,042,560 factors as 2^7 × 5 × 31 × 859. Its 64 positive divisors give a proper-divisor sum of 25,063,040, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 31 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 42,105,600
Proper Divisor Sum 25,063,040
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17042549 ← → #17042561

Radix Representation

Decimal 17042560
Binary 1000001000000110010000000 (25 bits)
Octal 0o101006200
Hexadecimal 0x1040C80

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 859 992 1,240 1,718 1,984 2,480 3,436 3,968 4,295 4,960 6,872 8,590 9,920 13,744 17,180 19,840 26,629 27,488 34,360 53,258 54,976 68,720 106,516 109,952 133,145 137,440 213,032 266,290 274,880 426,064 532,580 549,760 852,128 1,065,160 1,704,256 2,130,320

Collatz Trajectory (125 steps to reach 1)

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

17,042,560 8,521,280 4,260,640 2,130,320 1,065,160 532,580 266,290 133,145 399,436 199,718 99,859 299,578 149,789 449,368 224,684 112,342 56,171 168,514 84,257 252,772 126,386 63,193 189,580 94,790 47,395 142,186 71,093 213,280 106,640 53,320 26,660 13,330 6,665 19,996 9,998 4,999 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502

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