λ
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Atlas › Integer Profiles › Node 17,516,818

17,516,818

2 × 11 × 53 × 83 × 181
Deficient Even Composite

17,516,818 factors as 2 × 11 × 53 × 83 × 181. Its 32 positive divisors give a proper-divisor sum of 12,203,054, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 11 × 53 × 83 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,719,872
Proper Divisor Sum 12,203,054
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17516813 ← → #17516827

Radix Representation

Decimal 17516818
Binary 1000010110100100100010010 (25 bits)
Octal 0o102644422
Hexadecimal 0x10B4912

Divisor Catalog (32)

1 2 11 22 53 83 106 166 181 362 583 913 1,166 1,826 1,991 3,982 4,399 8,798 9,593 15,023 19,186 30,046 48,389 96,778 105,523 165,253 211,046 330,506 796,219 1,592,438 8,758,409 17,516,818

Collatz Trajectory (174 steps to reach 1)

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

17,516,818 8,758,409 26,275,228 13,137,614 6,568,807 19,706,422 9,853,211 29,559,634 14,779,817 44,339,452 22,169,726 11,084,863 33,254,590 16,627,295 49,881,886 24,940,943 74,822,830 37,411,415 112,234,246 56,117,123 168,351,370 84,175,685 252,527,056 126,263,528 63,131,764 31,565,882 15,782,941 47,348,824 23,674,412 11,837,206 5,918,603 17,755,810 8,877,905 26,633,716 13,316,858 6,658,429 19,975,288 9,987,644 4,993,822 2,496,911 7,490,734 3,745,367 11,236,102 5,618,051 16,854,154 8,427,077 25,281,232 12,640,616 6,320,308 3,160,154 1,580,077 4,740,232 2,370,116 1,185,058 592,529 1,777,588 888,794 444,397 1,333,192 666,596

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