λ
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Atlas › Integer Profiles › Node 40,525,958

40,525,958

2 × 11 × 41 × 179 × 251
Deficient Even Composite

40,525,958 factors as 2 × 11 × 41 × 179 × 251. Its 32 positive divisors give a proper-divisor sum of 28,058,362, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 11 × 41 × 179 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,584,320
Proper Divisor Sum 28,058,362
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #40525957 ← → #40525967

Radix Representation

Decimal 40525958
Binary 10011010100110000010000110 (26 bits)
Octal 0o232460206
Hexadecimal 0x26A6086

Divisor Catalog (32)

1 2 11 22 41 82 179 251 358 451 502 902 1,969 2,761 3,938 5,522 7,339 10,291 14,678 20,582 44,929 80,729 89,858 113,201 161,458 226,402 494,219 988,438 1,842,089 3,684,178 20,262,979 40,525,958

Collatz Trajectory (85 steps to reach 1)

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

40,525,958 20,262,979 60,788,938 30,394,469 91,183,408 45,591,704 22,795,852 11,397,926 5,698,963 17,096,890 8,548,445 25,645,336 12,822,668 6,411,334 3,205,667 9,617,002 4,808,501 14,425,504 7,212,752 3,606,376 1,803,188 901,594 450,797 1,352,392 676,196 338,098 169,049 507,148 253,574 126,787 380,362 190,181 570,544 285,272 142,636 71,318 35,659 106,978 53,489 160,468 80,234 40,117 120,352 60,176 30,088 15,044 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192

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