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Atlas › Integer Profiles › Node 17,037,460

17,037,460

22 × 5 × 11 × 43 × 1801
Abundant Even Composite

17,037,460 factors as 2^2 × 5 × 11 × 43 × 1801. Its 48 positive divisors give a proper-divisor sum of 22,923,692, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 43 × 1801
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 39,961,152
Proper Divisor Sum 22,923,692
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17037443 ← → #17037473

Radix Representation

Decimal 17037460
Binary 1000000111111100010010100 (25 bits)
Octal 0o100774224
Hexadecimal 0x103F894

Divisor Catalog (48)

1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1,801 1,892 2,365 3,602 4,730 7,204 9,005 9,460 18,010 19,811 36,020 39,622 77,443 79,244 99,055 154,886 198,110 309,772 387,215 396,220 774,430 851,873 1,548,860 1,703,746 3,407,492 4,259,365 8,518,730 17,037,460

Collatz Trajectory (200 steps to reach 1)

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

17,037,460 8,518,730 4,259,365 12,778,096 6,389,048 3,194,524 1,597,262 798,631 2,395,894 1,197,947 3,593,842 1,796,921 5,390,764 2,695,382 1,347,691 4,043,074 2,021,537 6,064,612 3,032,306 1,516,153 4,548,460 2,274,230 1,137,115 3,411,346 1,705,673 5,117,020 2,558,510 1,279,255 3,837,766 1,918,883 5,756,650 2,878,325 8,634,976 4,317,488 2,158,744 1,079,372 539,686 269,843 809,530 404,765 1,214,296 607,148 303,574 151,787 455,362 227,681 683,044 341,522 170,761 512,284 256,142 128,071 384,214 192,107 576,322 288,161 864,484 432,242 216,121 648,364

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