λ
Ratio Atlas

40,902,011

40902011
Deficient Odd Prime

40,902,011 factors as 40902011. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 40902011
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 40,902,012
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #40901951 ← → #40902047

Radix Representation

Decimal 40902011
Binary 10011100000001110101111011 (26 bits)
Octal 0o234016573
Hexadecimal 0x2701D7B

Divisor Catalog (2)

Collatz Trajectory (191 steps to reach 1)

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

40,902,011 122,706,034 61,353,017 184,059,052 92,029,526 46,014,763 138,044,290 69,022,145 207,066,436 103,533,218 51,766,609 155,299,828 77,649,914 38,824,957 116,474,872 58,237,436 29,118,718 14,559,359 43,678,078 21,839,039 65,517,118 32,758,559 98,275,678 49,137,839 147,413,518 73,706,759 221,120,278 110,560,139 331,680,418 165,840,209 497,520,628 248,760,314 124,380,157 373,140,472 186,570,236 93,285,118 46,642,559 139,927,678 69,963,839 209,891,518 104,945,759 314,837,278 157,418,639 472,255,918 236,127,959 708,383,878 354,191,939 1,062,575,818 531,287,909 1,593,863,728 796,931,864 398,465,932 199,232,966 99,616,483 298,849,450 149,424,725 448,274,176 224,137,088 112,068,544 56,034,272

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