λ
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40,134,708

22 × 32 × 31 × 35963
Abundant Even Composite

40,134,708 factors as 2^2 × 3^2 × 31 × 35963. Its 36 positive divisors give a proper-divisor sum of 64,592,460, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 31 × 35963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 104,727,168
Proper Divisor Sum 64,592,460
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40134683 ← → #40134709

Radix Representation

Decimal 40134708
Binary 10011001000110100000110100 (26 bits)
Octal 0o231064064
Hexadecimal 0x2646834

Divisor Catalog (36)

1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1,116 35,963 71,926 107,889 143,852 215,778 323,667 431,556 647,334 1,114,853 1,294,668 2,229,706 3,344,559 4,459,412 6,689,118 10,033,677 13,378,236 20,067,354 40,134,708

Collatz Trajectory (147 steps to reach 1)

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

40,134,708 20,067,354 10,033,677 30,101,032 15,050,516 7,525,258 3,762,629 11,287,888 5,643,944 2,821,972 1,410,986 705,493 2,116,480 1,058,240 529,120 264,560 132,280 66,140 33,070 16,535 49,606 24,803 74,410 37,205 111,616 55,808 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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