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Atlas › Integer Profiles › Node 40,523,238

40,523,238

2 × 32 × 7 × 19 × 16927
Abundant Even Composite

40,523,238 factors as 2 × 3^2 × 7 × 19 × 16927. Its 48 positive divisors give a proper-divisor sum of 65,107,482, so this integer is abundant. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 19 × 16927
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,630,720
Proper Divisor Sum 65,107,482
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40523233 ← → #40523261

Radix Representation

Decimal 40523238
Binary 10011010100101010111100110 (26 bits)
Octal 0o232452746
Hexadecimal 0x26A55E6

Divisor Catalog (48)

1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1,197 2,394 16,927 33,854 50,781 101,562 118,489 152,343 236,978 304,686 321,613 355,467 643,226 710,934 964,839 1,066,401 1,929,678 2,132,802 2,251,291 2,894,517 4,502,582 5,789,034 6,753,873 13,507,746 20,261,619 40,523,238

Collatz Trajectory (284 steps to reach 1)

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

40,523,238 20,261,619 60,784,858 30,392,429 91,177,288 45,588,644 22,794,322 11,397,161 34,191,484 17,095,742 8,547,871 25,643,614 12,821,807 38,465,422 19,232,711 57,698,134 28,849,067 86,547,202 43,273,601 129,820,804 64,910,402 32,455,201 97,365,604 48,682,802 24,341,401 73,024,204 36,512,102 18,256,051 54,768,154 27,384,077 82,152,232 41,076,116 20,538,058 10,269,029 30,807,088 15,403,544 7,701,772 3,850,886 1,925,443 5,776,330 2,888,165 8,664,496 4,332,248 2,166,124 1,083,062 541,531 1,624,594 812,297 2,436,892 1,218,446 609,223 1,827,670 913,835 2,741,506 1,370,753 4,112,260 2,056,130 1,028,065 3,084,196 1,542,098

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