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Atlas › Integer Profiles › Node 26,366,142

26,366,142

2 × 3 × 112 × 23 × 1579
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 23 × 1579
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 60,520,320
Proper Divisor Sum 34,154,178
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #26366141 ← → #26366147

Radix Representation

Decimal 26366142
Binary 1100100100101000010111110 (25 bits)
Octal 0o144450276
Hexadecimal 0x19250BE

Divisor Catalog (48)

1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1,518 1,579 2,783 3,158 4,737 5,566 8,349 9,474 16,698 17,369 34,738 36,317 52,107 72,634 104,214 108,951 191,059 217,902 382,118 399,487 573,177 798,974 1,146,354 1,198,461 2,396,922 4,394,357 8,788,714 13,183,071 26,366,142

Collatz Trajectory (211 steps to reach 1)

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

26,366,142 13,183,071 39,549,214 19,774,607 59,323,822 29,661,911 88,985,734 44,492,867 133,478,602 66,739,301 200,217,904 100,108,952 50,054,476 25,027,238 12,513,619 37,540,858 18,770,429 56,311,288 28,155,644 14,077,822 7,038,911 21,116,734 10,558,367 31,675,102 15,837,551 47,512,654 23,756,327 71,268,982 35,634,491 106,903,474 53,451,737 160,355,212 80,177,606 40,088,803 120,266,410 60,133,205 180,399,616 90,199,808 45,099,904 22,549,952 11,274,976 5,637,488 2,818,744 1,409,372 704,686 352,343 1,057,030 528,515 1,585,546 792,773 2,378,320 1,189,160 594,580 297,290 148,645 445,936 222,968 111,484 55,742 27,871

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