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Atlas › Integer Profiles › Node 40,844,908

40,844,908

22 × 13 × 19 × 41341
Deficient Even Composite

40,844,908 factors as 2^2 × 13 × 19 × 41341. Its 24 positive divisors give a proper-divisor sum of 40,185,412, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 41341
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 81,030,320
Proper Divisor Sum 40,185,412
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #40844891 ← → #40844911

Radix Representation

Decimal 40844908
Binary 10011011110011111001101100 (26 bits)
Octal 0o233637154
Hexadecimal 0x26F3E6C

Divisor Catalog (24)

1 2 4 13 19 26 38 52 76 247 494 988 41,341 82,682 165,364 537,433 785,479 1,074,866 1,570,958 2,149,732 3,141,916 10,211,227 20,422,454 40,844,908

Collatz Trajectory (129 steps to reach 1)

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

40,844,908 20,422,454 10,211,227 30,633,682 15,316,841 45,950,524 22,975,262 11,487,631 34,462,894 17,231,447 51,694,342 25,847,171 77,541,514 38,770,757 116,312,272 58,156,136 29,078,068 14,539,034 7,269,517 21,808,552 10,904,276 5,452,138 2,726,069 8,178,208 4,089,104 2,044,552 1,022,276 511,138 255,569 766,708 383,354 191,677 575,032 287,516 143,758 71,879 215,638 107,819 323,458 161,729 485,188 242,594 121,297 363,892 181,946 90,973 272,920 136,460 68,230 34,115 102,346 51,173 153,520 76,760 38,380 19,190 9,595 28,786 14,393 43,180

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