4,038,020

2² × 5 × 7 × 28843

4,038,020 factors as 2^2 × 5 × 7 × 28843. Its 24 positive divisors give a proper-divisor sum of 5,653,564, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 28843

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,691,584

Proper Divisor Sum 5,653,564

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4038011 ← → #4038043

Radix Representation

Decimal	4038020
Binary	1111011001110110000100 (22 bits)
Octal	0o17316604
Hexadecimal	0x3D9D84

Divisor Catalog (24)

Collatz Trajectory (92 steps to reach 1)

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

4,038,020 2,019,010 1,009,505 3,028,516 1,514,258 757,129 2,271,388 1,135,694 567,847 1,703,542 851,771 2,555,314 1,277,657 3,832,972 1,916,486 958,243 2,874,730 1,437,365 4,312,096 2,156,048 1,078,024 539,012 269,506 134,753 404,260 202,130 101,065 303,196 151,598 75,799 227,398 113,699 341,098 170,549 511,648 255,824 127,912 63,956 31,978 15,989 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,038,019 Browse Full Index Next Integer #4,038,021 →