17,523,428

2² × 13 × 336989

17,523,428 factors as 2^2 × 13 × 336989. Its 12 positive divisors give a proper-divisor sum of 15,501,592, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 336989

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 33,025,020

Proper Divisor Sum 15,501,592

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #17523421 ← → #17523437

Radix Representation

Decimal	17523428
Binary	1000010110110001011100100 (25 bits)
Octal	0o102661344
Hexadecimal	0x10B62E4

Divisor Catalog (12)

1 2 4 13 26 52 336,989 673,978 1,347,956 4,380,857 8,761,714 17,523,428

Collatz Trajectory (182 steps to reach 1)

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

17,523,428 8,761,714 4,380,857 13,142,572 6,571,286 3,285,643 9,856,930 4,928,465 14,785,396 7,392,698 3,696,349 11,089,048 5,544,524 2,772,262 1,386,131 4,158,394 2,079,197 6,237,592 3,118,796 1,559,398 779,699 2,339,098 1,169,549 3,508,648 1,754,324 877,162 438,581 1,315,744 657,872 328,936 164,468 82,234 41,117 123,352 61,676 30,838 15,419 46,258 23,129 69,388 34,694 17,347 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088

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