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Atlas › Integer Profiles › Node 17,518,024

17,518,024

23 × 172 × 7577
Deficient Even Composite

17,518,024 factors as 2^3 × 17^2 × 7577. Its 24 positive divisors give a proper-divisor sum of 17,378,666, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^3 × 17^2 × 7577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 34,896,690
Proper Divisor Sum 17,378,666
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17518009 ← → #17518027

Radix Representation

Decimal 17518024
Binary 1000010110100110111001000 (25 bits)
Octal 0o102646710
Hexadecimal 0x10B4DC8

Divisor Catalog (24)

1 2 4 8 17 34 68 136 289 578 1,156 2,312 7,577 15,154 30,308 60,616 128,809 257,618 515,236 1,030,472 2,189,753 4,379,506 8,759,012 17,518,024

Collatz Trajectory (107 steps to reach 1)

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

17,518,024 8,759,012 4,379,506 2,189,753 6,569,260 3,284,630 1,642,315 4,926,946 2,463,473 7,390,420 3,695,210 1,847,605 5,542,816 2,771,408 1,385,704 692,852 346,426 173,213 519,640 259,820 129,910 64,955 194,866 97,433 292,300 146,150 73,075 219,226 109,613 328,840 164,420 82,210 41,105 123,316 61,658 30,829 92,488 46,244 23,122 11,561 34,684 17,342 8,671 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130

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