λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,074,100

40,074,100

22 × 52 × 11 × 17 × 2143
Abundant Even Composite

40,074,100 factors as 2^2 × 5^2 × 11 × 17 × 2143. Its 72 positive divisors give a proper-divisor sum of 60,419,468, so this integer is abundant. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 17 × 2143
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 100,493,568
Proper Divisor Sum 60,419,468
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #40074091 ← → #40074109

Radix Representation

Decimal 40074100
Binary 10011000110111101101110100 (26 bits)
Octal 0o230675564
Hexadecimal 0x2637B74

Divisor Catalog (60 of 72)

1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1,100 1,700 1,870 2,143 3,740 4,286 4,675 8,572 9,350 10,715 18,700 21,430 23,573 36,431 42,860 47,146 53,575 72,862 94,292 107,150 117,865 145,724 182,155 214,300 235,730 364,310 400,741 471,460 589,325 728,620 801,482

Collatz Trajectory (284 steps to reach 1)

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

40,074,100 20,037,050 10,018,525 30,055,576 15,027,788 7,513,894 3,756,947 11,270,842 5,635,421 16,906,264 8,453,132 4,226,566 2,113,283 6,339,850 3,169,925 9,509,776 4,754,888 2,377,444 1,188,722 594,361 1,783,084 891,542 445,771 1,337,314 668,657 2,005,972 1,002,986 501,493 1,504,480 752,240 376,120 188,060 94,030 47,015 141,046 70,523 211,570 105,785 317,356 158,678 79,339 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903 1,016,710 508,355 1,525,066

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #40,074,099 Browse Full Index Next Integer #40,074,101 →