λ
Ratio Atlas

40,191,079

40191079
Deficient Odd Prime

40,191,079 factors as 40191079. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 40191079
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 40,191,080
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40191059 ← → #40191101

Radix Representation

Decimal 40191079
Binary 10011001010100010001100111 (26 bits)
Octal 0o231242147
Hexadecimal 0x2654467

Divisor Catalog (2)

Collatz Trajectory (160 steps to reach 1)

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

40,191,079 120,573,238 60,286,619 180,859,858 90,429,929 271,289,788 135,644,894 67,822,447 203,467,342 101,733,671 305,201,014 152,600,507 457,801,522 228,900,761 686,702,284 343,351,142 171,675,571 515,026,714 257,513,357 772,540,072 386,270,036 193,135,018 96,567,509 289,702,528 144,851,264 72,425,632 36,212,816 18,106,408 9,053,204 4,526,602 2,263,301 6,789,904 3,394,952 1,697,476 848,738 424,369 1,273,108 636,554 318,277 954,832 477,416 238,708 119,354 59,677 179,032 89,516 44,758 22,379 67,138 33,569 100,708 50,354 25,177 75,532 37,766 18,883 56,650 28,325 84,976 42,488

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