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Atlas › Integer Profiles › Node 26,329,485

26,329,485

3 × 5 × 7 × 13 × 19289
Deficient Odd Composite

26,329,485 factors as 3 × 5 × 7 × 13 × 19289. Its 32 positive divisors give a proper-divisor sum of 25,522,035, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 19289
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,851,520
Proper Divisor Sum 25,522,035
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #26329483 ← → #26329487

Radix Representation

Decimal 26329485
Binary 1100100011100000110001101 (25 bits)
Octal 0o144340615
Hexadecimal 0x191C18D

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 19,289 57,867 96,445 135,023 250,757 289,335 405,069 675,115 752,271 1,253,785 1,755,299 2,025,345 3,761,355 5,265,897 8,776,495 26,329,485

Collatz Trajectory (149 steps to reach 1)

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

26,329,485 78,988,456 39,494,228 19,747,114 9,873,557 29,620,672 14,810,336 7,405,168 3,702,584 1,851,292 925,646 462,823 1,388,470 694,235 2,082,706 1,041,353 3,124,060 1,562,030 781,015 2,343,046 1,171,523 3,514,570 1,757,285 5,271,856 2,635,928 1,317,964 658,982 329,491 988,474 494,237 1,482,712 741,356 370,678 185,339 556,018 278,009 834,028 417,014 208,507 625,522 312,761 938,284 469,142 234,571 703,714 351,857 1,055,572 527,786 263,893 791,680 395,840 197,920 98,960 49,480 24,740 12,370 6,185 18,556 9,278 4,639

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