λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,327,744

41,327,744

27 × 61 × 67 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 61 × 67 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 86,006,400
Proper Divisor Sum 44,678,656
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #41327719 ← → #41327747

Radix Representation

Decimal 41327744
Binary 10011101101001110010000000 (26 bits)
Octal 0o235516200
Hexadecimal 0x2769C80

Divisor Catalog (60 of 64)

1 2 4 8 16 32 61 64 67 79 122 128 134 158 244 268 316 488 536 632 976 1,072 1,264 1,952 2,144 2,528 3,904 4,087 4,288 4,819 5,056 5,293 7,808 8,174 8,576 9,638 10,112 10,586 16,348 19,276 21,172 32,696 38,552 42,344 65,392 77,104 84,688 130,784 154,208 169,376 261,568 308,416 322,873 338,752 523,136 616,832 645,746 677,504 1,291,492 2,582,984

Collatz Trajectory (178 steps to reach 1)

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

41,327,744 20,663,872 10,331,936 5,165,968 2,582,984 1,291,492 645,746 322,873 968,620 484,310 242,155 726,466 363,233 1,089,700 544,850 272,425 817,276 408,638 204,319 612,958 306,479 919,438 459,719 1,379,158 689,579 2,068,738 1,034,369 3,103,108 1,551,554 775,777 2,327,332 1,163,666 581,833 1,745,500 872,750 436,375 1,309,126 654,563 1,963,690 981,845 2,945,536 1,472,768 736,384 368,192 184,096 92,048 46,024 23,012 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #41,327,743 Browse Full Index Next Integer #41,327,745 →