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Atlas › Integer Profiles › Node 26,323,926

26,323,926

2 × 3 × 107 × 131 × 313
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 107 × 131 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 53,716,608
Proper Divisor Sum 27,392,682
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #26323907 ← → #26323961

Radix Representation

Decimal 26323926
Binary 1100100011010101111010110 (25 bits)
Octal 0o144325726
Hexadecimal 0x191ABD6

Divisor Catalog (32)

1 2 3 6 107 131 214 262 313 321 393 626 642 786 939 1,878 14,017 28,034 33,491 41,003 42,051 66,982 82,006 84,102 100,473 123,009 200,946 246,018 4,387,321 8,774,642 13,161,963 26,323,926

Collatz Trajectory (149 steps to reach 1)

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

26,323,926 13,161,963 39,485,890 19,742,945 59,228,836 29,614,418 14,807,209 44,421,628 22,210,814 11,105,407 33,316,222 16,658,111 49,974,334 24,987,167 74,961,502 37,480,751 112,442,254 56,221,127 168,663,382 84,331,691 252,995,074 126,497,537 379,492,612 189,746,306 94,873,153 284,619,460 142,309,730 71,154,865 213,464,596 106,732,298 53,366,149 160,098,448 80,049,224 40,024,612 20,012,306 10,006,153 30,018,460 15,009,230 7,504,615 22,513,846 11,256,923 33,770,770 16,885,385 50,656,156 25,328,078 12,664,039 37,992,118 18,996,059 56,988,178 28,494,089 85,482,268 42,741,134 21,370,567 64,111,702 32,055,851 96,167,554 48,083,777 144,251,332 72,125,666 36,062,833

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