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Atlas › Integer Profiles › Node 40,316,628

40,316,628

22 × 3 × 11 × 43 × 7103
Abundant Even Composite

40,316,628 factors as 2^2 × 3 × 11 × 43 × 7103. Its 48 positive divisors give a proper-divisor sum of 64,708,908, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 43 × 7103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,025,536
Proper Divisor Sum 64,708,908
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #40316611 ← → #40316629

Radix Representation

Decimal 40316628
Binary 10011001110010111011010100 (26 bits)
Octal 0o231627324
Hexadecimal 0x2672ED4

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1,419 1,892 2,838 5,676 7,103 14,206 21,309 28,412 42,618 78,133 85,236 156,266 234,399 305,429 312,532 468,798 610,858 916,287 937,596 1,221,716 1,832,574 3,359,719 3,665,148 6,719,438 10,079,157 13,438,876 20,158,314 40,316,628

Collatz Trajectory (209 steps to reach 1)

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

40,316,628 20,158,314 10,079,157 30,237,472 15,118,736 7,559,368 3,779,684 1,889,842 944,921 2,834,764 1,417,382 708,691 2,126,074 1,063,037 3,189,112 1,594,556 797,278 398,639 1,195,918 597,959 1,793,878 896,939 2,690,818 1,345,409 4,036,228 2,018,114 1,009,057 3,027,172 1,513,586 756,793 2,270,380 1,135,190 567,595 1,702,786 851,393 2,554,180 1,277,090 638,545 1,915,636 957,818 478,909 1,436,728 718,364 359,182 179,591 538,774 269,387 808,162 404,081 1,212,244 606,122 303,061 909,184 454,592 227,296 113,648 56,824 28,412 14,206 7,103

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