λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,517,942

17,517,942

2 × 32 × 13 × 43 × 1741
Abundant Even Composite

17,517,942 factors as 2 × 3^2 × 13 × 43 × 1741. Its 48 positive divisors give a proper-divisor sum of 24,331,866, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 43 × 1741
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 41,849,808
Proper Divisor Sum 24,331,866
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17517893 ← → #17517949

Radix Representation

Decimal 17517942
Binary 1000010110100110101110110 (25 bits)
Octal 0o102646566
Hexadecimal 0x10B4D76

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1,118 1,677 1,741 3,354 3,482 5,031 5,223 10,062 10,446 15,669 22,633 31,338 45,266 67,899 74,863 135,798 149,726 203,697 224,589 407,394 449,178 673,767 973,219 1,347,534 1,946,438 2,919,657 5,839,314 8,758,971 17,517,942

Collatz Trajectory (107 steps to reach 1)

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

17,517,942 8,758,971 26,276,914 13,138,457 39,415,372 19,707,686 9,853,843 29,561,530 14,780,765 44,342,296 22,171,148 11,085,574 5,542,787 16,628,362 8,314,181 24,942,544 12,471,272 6,235,636 3,117,818 1,558,909 4,676,728 2,338,364 1,169,182 584,591 1,753,774 876,887 2,630,662 1,315,331 3,945,994 1,972,997 5,918,992 2,959,496 1,479,748 739,874 369,937 1,109,812 554,906 277,453 832,360 416,180 208,090 104,045 312,136 156,068 78,034 39,017 117,052 58,526 29,263 87,790 43,895 131,686 65,843 197,530 98,765 296,296 148,148 74,074 37,037 111,112

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,517,941 Browse Full Index Next Integer #17,517,943 →