λ
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Atlas › Integer Profiles › Node 40,121,967

40,121,967

3 × 31 × 43 × 79 × 127
Deficient Odd Composite

40,121,967 factors as 3 × 31 × 43 × 79 × 127. Its 32 positive divisors give a proper-divisor sum of 17,549,713, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3 × 31 × 43 × 79 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,671,680
Proper Divisor Sum 17,549,713
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #40121941 ← → #40121971

Radix Representation

Decimal 40121967
Binary 10011001000011011001101111 (26 bits)
Octal 0o231033157
Hexadecimal 0x264366F

Divisor Catalog (32)

1 3 31 43 79 93 127 129 237 381 1,333 2,449 3,397 3,937 3,999 5,461 7,347 10,033 10,191 11,811 16,383 30,099 105,307 169,291 311,023 315,921 431,419 507,873 933,069 1,294,257 13,373,989 40,121,967

Collatz Trajectory (209 steps to reach 1)

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

40,121,967 120,365,902 60,182,951 180,548,854 90,274,427 270,823,282 135,411,641 406,234,924 203,117,462 101,558,731 304,676,194 152,338,097 457,014,292 228,507,146 114,253,573 342,760,720 171,380,360 85,690,180 42,845,090 21,422,545 64,267,636 32,133,818 16,066,909 48,200,728 24,100,364 12,050,182 6,025,091 18,075,274 9,037,637 27,112,912 13,556,456 6,778,228 3,389,114 1,694,557 5,083,672 2,541,836 1,270,918 635,459 1,906,378 953,189 2,859,568 1,429,784 714,892 357,446 178,723 536,170 268,085 804,256 402,128 201,064 100,532 50,266 25,133 75,400 37,700 18,850 9,425 28,276 14,138 7,069

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