17,810,698

2 × 29² × 10589

17,810,698 factors as 2 × 29^2 × 10589. Its 12 positive divisors give a proper-divisor sum of 9,860,972, so this integer is deficient. The Collatz stopping time is 288 steps.

Prime Factor Structure

Factorization String 2 × 29^2 × 10589

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 27,671,670

Proper Divisor Sum 9,860,972

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #17810641 ← → #17810711

Radix Representation

Decimal	17810698
Binary	1000011111100010100001010 (25 bits)
Octal	0o103742412
Hexadecimal	0x10FC50A

Divisor Catalog (12)

1 2 29 58 841 1,682 10,589 21,178 307,081 614,162 8,905,349 17,810,698

Collatz Trajectory (288 steps to reach 1)

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

17,810,698 8,905,349 26,716,048 13,358,024 6,679,012 3,339,506 1,669,753 5,009,260 2,504,630 1,252,315 3,756,946 1,878,473 5,635,420 2,817,710 1,408,855 4,226,566 2,113,283 6,339,850 3,169,925 9,509,776 4,754,888 2,377,444 1,188,722 594,361 1,783,084 891,542 445,771 1,337,314 668,657 2,005,972 1,002,986 501,493 1,504,480 752,240 376,120 188,060 94,030 47,015 141,046 70,523 211,570 105,785 317,356 158,678 79,339 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806

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