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Atlas › Integer Profiles › Node 17,568,369

17,568,369

32 × 7 × 13 × 19 × 1129
Deficient Odd Composite

17,568,369 factors as 3^2 × 7 × 13 × 19 × 1129. Its 48 positive divisors give a proper-divisor sum of 15,337,231, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 19 × 1129
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,905,600
Proper Divisor Sum 15,337,231
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #17568367 ← → #17568379

Radix Representation

Decimal 17568369
Binary 1000011000001001001110001 (25 bits)
Octal 0o103011161
Hexadecimal 0x10C1271

Divisor Catalog (48)

1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1,129 1,197 1,729 2,223 3,387 5,187 7,903 10,161 14,677 15,561 21,451 23,709 44,031 64,353 71,127 102,739 132,093 150,157 193,059 278,863 308,217 450,471 836,589 924,651 1,351,413 1,952,041 2,509,767 5,856,123 17,568,369

Collatz Trajectory (125 steps to reach 1)

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

17,568,369 52,705,108 26,352,554 13,176,277 39,528,832 19,764,416 9,882,208 4,941,104 2,470,552 1,235,276 617,638 308,819 926,458 463,229 1,389,688 694,844 347,422 173,711 521,134 260,567 781,702 390,851 1,172,554 586,277 1,758,832 879,416 439,708 219,854 109,927 329,782 164,891 494,674 247,337 742,012 371,006 185,503 556,510 278,255 834,766 417,383 1,252,150 626,075 1,878,226 939,113 2,817,340 1,408,670 704,335 2,113,006 1,056,503 3,169,510 1,584,755 4,754,266 2,377,133 7,131,400 3,565,700 1,782,850 891,425 2,674,276 1,337,138 668,569

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