λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,902,448

42,902,448

24 × 3 × 157 × 5693
Abundant Even Composite

42,902,448 factors as 2^4 × 3 × 157 × 5693. Its 40 positive divisors give a proper-divisor sum of 68,654,400, so this integer is abundant. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 157 × 5693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 111,556,848
Proper Divisor Sum 68,654,400
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #42902423 ← → #42902449

Radix Representation

Decimal 42902448
Binary 10100011101010001110110000 (26 bits)
Octal 0o243521660
Hexadecimal 0x28EA3B0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1,256 1,884 2,512 3,768 5,693 7,536 11,386 17,079 22,772 34,158 45,544 68,316 91,088 136,632 273,264 893,801 1,787,602 2,681,403 3,575,204 5,362,806 7,150,408 10,725,612 14,300,816 21,451,224 42,902,448

Collatz Trajectory (297 steps to reach 1)

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

42,902,448 21,451,224 10,725,612 5,362,806 2,681,403 8,044,210 4,022,105 12,066,316 6,033,158 3,016,579 9,049,738 4,524,869 13,574,608 6,787,304 3,393,652 1,696,826 848,413 2,545,240 1,272,620 636,310 318,155 954,466 477,233 1,431,700 715,850 357,925 1,073,776 536,888 268,444 134,222 67,111 201,334 100,667 302,002 151,001 453,004 226,502 113,251 339,754 169,877 509,632 254,816 127,408 63,704 31,852 15,926 7,963 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #42,902,447 Browse Full Index Next Integer #42,902,449 →