λ
Ratio Atlas

17,411,711

487 × 35753
Deficient Odd Composite

17,411,711 factors as 487 × 35753. Its 4 positive divisors give a proper-divisor sum of 36,241, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 487 × 35753
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 17,447,952
Proper Divisor Sum 36,241
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #17411701 ← → #17411729

Radix Representation

Decimal 17411711
Binary 1000010011010111001111111 (25 bits)
Octal 0o102327177
Hexadecimal 0x109AE7F

Divisor Catalog (4)

Collatz Trajectory (187 steps to reach 1)

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

17,411,711 52,235,134 26,117,567 78,352,702 39,176,351 117,529,054 58,764,527 176,293,582 88,146,791 264,440,374 132,220,187 396,660,562 198,330,281 594,990,844 297,495,422 148,747,711 446,243,134 223,121,567 669,364,702 334,682,351 1,004,047,054 502,023,527 1,506,070,582 753,035,291 2,259,105,874 1,129,552,937 3,388,658,812 1,694,329,406 847,164,703 2,541,494,110 1,270,747,055 3,812,241,166 1,906,120,583 5,718,361,750 2,859,180,875 8,577,542,626 4,288,771,313 12,866,313,940 6,433,156,970 3,216,578,485 9,649,735,456 4,824,867,728 2,412,433,864 1,206,216,932 603,108,466 301,554,233 904,662,700 452,331,350 226,165,675 678,497,026 339,248,513 1,017,745,540 508,872,770 254,436,385 763,309,156 381,654,578 190,827,289 572,481,868 286,240,934 143,120,467

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