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Atlas › Integer Profiles › Node 40,293,136

40,293,136

24 × 13 × 307 × 631
Abundant Even Composite

40,293,136 factors as 2^4 × 13 × 307 × 631. Its 40 positive divisors give a proper-divisor sum of 44,187,568, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 307 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 84,480,704
Proper Divisor Sum 44,187,568
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #40293131 ← → #40293137

Radix Representation

Decimal 40293136
Binary 10011001101101001100010000 (26 bits)
Octal 0o231551420
Hexadecimal 0x266D310

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 208 307 614 631 1,228 1,262 2,456 2,524 3,991 4,912 5,048 7,982 8,203 10,096 15,964 16,406 31,928 32,812 63,856 65,624 131,248 193,717 387,434 774,868 1,549,736 2,518,321 3,099,472 5,036,642 10,073,284 20,146,568 40,293,136

Collatz Trajectory (160 steps to reach 1)

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

40,293,136 20,146,568 10,073,284 5,036,642 2,518,321 7,554,964 3,777,482 1,888,741 5,666,224 2,833,112 1,416,556 708,278 354,139 1,062,418 531,209 1,593,628 796,814 398,407 1,195,222 597,611 1,792,834 896,417 2,689,252 1,344,626 672,313 2,016,940 1,008,470 504,235 1,512,706 756,353 2,269,060 1,134,530 567,265 1,701,796 850,898 425,449 1,276,348 638,174 319,087 957,262 478,631 1,435,894 717,947 2,153,842 1,076,921 3,230,764 1,615,382 807,691 2,423,074 1,211,537 3,634,612 1,817,306 908,653 2,725,960 1,362,980 681,490 340,745 1,022,236 511,118 255,559

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