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Atlas › Integer Profiles › Node 17,537,390

17,537,390

2 × 5 × 13 × 313 × 431
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 313 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 34,183,296
Proper Divisor Sum 16,645,906
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #17537347 ← → #17537411

Radix Representation

Decimal 17537390
Binary 1000010111001100101101110 (25 bits)
Octal 0o102714556
Hexadecimal 0x10B996E

Divisor Catalog (32)

1 2 5 10 13 26 65 130 313 431 626 862 1,565 2,155 3,130 4,069 4,310 5,603 8,138 11,206 20,345 28,015 40,690 56,030 134,903 269,806 674,515 1,349,030 1,753,739 3,507,478 8,768,695 17,537,390

Collatz Trajectory (319 steps to reach 1)

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

17,537,390 8,768,695 26,306,086 13,153,043 39,459,130 19,729,565 59,188,696 29,594,348 14,797,174 7,398,587 22,195,762 11,097,881 33,293,644 16,646,822 8,323,411 24,970,234 12,485,117 37,455,352 18,727,676 9,363,838 4,681,919 14,045,758 7,022,879 21,068,638 10,534,319 31,602,958 15,801,479 47,404,438 23,702,219 71,106,658 35,553,329 106,659,988 53,329,994 26,664,997 79,994,992 39,997,496 19,998,748 9,999,374 4,999,687 14,999,062 7,499,531 22,498,594 11,249,297 33,747,892 16,873,946 8,436,973 25,310,920 12,655,460 6,327,730 3,163,865 9,491,596 4,745,798 2,372,899 7,118,698 3,559,349 10,678,048 5,339,024 2,669,512 1,334,756 667,378

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