λ
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Atlas › Integer Profiles › Node 17,469,705

17,469,705

3 × 5 × 11 × 239 × 443
Deficient Odd Composite

17,469,705 factors as 3 × 5 × 11 × 239 × 443. Its 32 positive divisors give a proper-divisor sum of 13,219,575, so this integer is deficient. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 239 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,689,280
Proper Divisor Sum 13,219,575
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #17469691 ← → #17469733

Radix Representation

Decimal 17469705
Binary 1000010101001000100001001 (25 bits)
Octal 0o102510411
Hexadecimal 0x10A9109

Divisor Catalog (32)

1 3 5 11 15 33 55 165 239 443 717 1,195 1,329 2,215 2,629 3,585 4,873 6,645 7,887 13,145 14,619 24,365 39,435 73,095 105,877 317,631 529,385 1,164,647 1,588,155 3,493,941 5,823,235 17,469,705

Collatz Trajectory (275 steps to reach 1)

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

17,469,705 52,409,116 26,204,558 13,102,279 39,306,838 19,653,419 58,960,258 29,480,129 88,440,388 44,220,194 22,110,097 66,330,292 33,165,146 16,582,573 49,747,720 24,873,860 12,436,930 6,218,465 18,655,396 9,327,698 4,663,849 13,991,548 6,995,774 3,497,887 10,493,662 5,246,831 15,740,494 7,870,247 23,610,742 11,805,371 35,416,114 17,708,057 53,124,172 26,562,086 13,281,043 39,843,130 19,921,565 59,764,696 29,882,348 14,941,174 7,470,587 22,411,762 11,205,881 33,617,644 16,808,822 8,404,411 25,213,234 12,606,617 37,819,852 18,909,926 9,454,963 28,364,890 14,182,445 42,547,336 21,273,668 10,636,834 5,318,417 15,955,252 7,977,626 3,988,813

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