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Atlas › Integer Profiles › Node 26,320,073

26,320,073

13 × 19 × 23 × 41 × 113
Deficient Odd Composite

Prime Factor Structure

Factorization String 13 × 19 × 23 × 41 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,175,360
Proper Divisor Sum 5,855,287
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #26320069 ← → #26320087

Radix Representation

Decimal 26320073
Binary 1100100011001110011001001 (25 bits)
Octal 0o144316311
Hexadecimal 0x1919CC9

Divisor Catalog (32)

1 13 19 23 41 113 247 299 437 533 779 943 1,469 2,147 2,599 4,633 5,681 10,127 12,259 17,917 27,911 33,787 49,381 60,229 88,027 106,559 232,921 641,953 1,144,351 1,385,267 2,024,621 26,320,073

Collatz Trajectory (224 steps to reach 1)

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

26,320,073 78,960,220 39,480,110 19,740,055 59,220,166 29,610,083 88,830,250 44,415,125 133,245,376 66,622,688 33,311,344 16,655,672 8,327,836 4,163,918 2,081,959 6,245,878 3,122,939 9,368,818 4,684,409 14,053,228 7,026,614 3,513,307 10,539,922 5,269,961 15,809,884 7,904,942 3,952,471 11,857,414 5,928,707 17,786,122 8,893,061 26,679,184 13,339,592 6,669,796 3,334,898 1,667,449 5,002,348 2,501,174 1,250,587 3,751,762 1,875,881 5,627,644 2,813,822 1,406,911 4,220,734 2,110,367 6,331,102 3,165,551 9,496,654 4,748,327 14,244,982 7,122,491 21,367,474 10,683,737 32,051,212 16,025,606 8,012,803 24,038,410 12,019,205 36,057,616

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