λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,794,848

37,794,848

25 × 7 × 13 × 12979
Abundant Even Composite

37,794,848 factors as 2^5 × 7 × 13 × 12979. Its 48 positive divisors give a proper-divisor sum of 53,792,032, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 12979
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,586,880
Proper Divisor Sum 53,792,032
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #37794817 ← → #37794853

Radix Representation

Decimal 37794848
Binary 10010000001011010000100000 (26 bits)
Octal 0o220132040
Hexadecimal 0x240B420

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1,456 2,912 12,979 25,958 51,916 90,853 103,832 168,727 181,706 207,664 337,454 363,412 415,328 674,908 726,824 1,181,089 1,349,816 1,453,648 2,362,178 2,699,632 2,907,296 4,724,356 5,399,264 9,448,712 18,897,424 37,794,848

Collatz Trajectory (103 steps to reach 1)

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

37,794,848 18,897,424 9,448,712 4,724,356 2,362,178 1,181,089 3,543,268 1,771,634 885,817 2,657,452 1,328,726 664,363 1,993,090 996,545 2,989,636 1,494,818 747,409 2,242,228 1,121,114 560,557 1,681,672 840,836 420,418 210,209 630,628 315,314 157,657 472,972 236,486 118,243 354,730 177,365 532,096 266,048 133,024 66,512 33,256 16,628 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #37,794,847 Browse Full Index Next Integer #37,794,849 →