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Atlas › Integer Profiles › Node 17,523,974

17,523,974

2 × 13 × 17 × 41 × 967
Deficient Even Composite

17,523,974 factors as 2 × 13 × 17 × 41 × 967. Its 32 positive divisors give a proper-divisor sum of 13,211,962, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 41 × 967
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,735,936
Proper Divisor Sum 13,211,962
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17523937 ← → #17523983

Radix Representation

Decimal 17523974
Binary 1000010110110010100000110 (25 bits)
Octal 0o102662406
Hexadecimal 0x10B6506

Divisor Catalog (32)

1 2 13 17 26 34 41 82 221 442 533 697 967 1,066 1,394 1,934 9,061 12,571 16,439 18,122 25,142 32,878 39,647 79,294 213,707 427,414 515,411 673,999 1,030,822 1,347,998 8,761,987 17,523,974

Collatz Trajectory (89 steps to reach 1)

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

17,523,974 8,761,987 26,285,962 13,142,981 39,428,944 19,714,472 9,857,236 4,928,618 2,464,309 7,392,928 3,696,464 1,848,232 924,116 462,058 231,029 693,088 346,544 173,272 86,636 43,318 21,659 64,978 32,489 97,468 48,734 24,367 73,102 36,551 109,654 54,827 164,482 82,241 246,724 123,362 61,681 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86

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