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Atlas › Integer Profiles › Node 26,344,605

26,344,605

3 × 5 × 72 × 73 × 491
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 73 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 49,806,144
Proper Divisor Sum 23,461,539
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #26344603 ← → #26344609

Radix Representation

Decimal 26344605
Binary 1100100011111110010011101 (25 bits)
Octal 0o144376235
Hexadecimal 0x191FC9D

Divisor Catalog (48)

1 3 5 7 15 21 35 49 73 105 147 219 245 365 491 511 735 1,095 1,473 1,533 2,455 2,555 3,437 3,577 7,365 7,665 10,311 10,731 17,185 17,885 24,059 35,843 51,555 53,655 72,177 107,529 120,295 179,215 250,901 360,885 537,645 752,703 1,254,505 1,756,307 3,763,515 5,268,921 8,781,535 26,344,605

Collatz Trajectory (172 steps to reach 1)

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

26,344,605 79,033,816 39,516,908 19,758,454 9,879,227 29,637,682 14,818,841 44,456,524 22,228,262 11,114,131 33,342,394 16,671,197 50,013,592 25,006,796 12,503,398 6,251,699 18,755,098 9,377,549 28,132,648 14,066,324 7,033,162 3,516,581 10,549,744 5,274,872 2,637,436 1,318,718 659,359 1,978,078 989,039 2,967,118 1,483,559 4,450,678 2,225,339 6,676,018 3,338,009 10,014,028 5,007,014 2,503,507 7,510,522 3,755,261 11,265,784 5,632,892 2,816,446 1,408,223 4,224,670 2,112,335 6,337,006 3,168,503 9,505,510 4,752,755 14,258,266 7,129,133 21,387,400 10,693,700 5,346,850 2,673,425 8,020,276 4,010,138 2,005,069 6,015,208

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