37,123,731

3³ × 1374953

37,123,731 factors as 3^3 × 1374953. Its 8 positive divisors give a proper-divisor sum of 17,874,429, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3^3 × 1374953

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 54,998,160

Proper Divisor Sum 17,874,429

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #37123729 ← → #37123747

Radix Representation

Decimal	37123731
Binary	10001101100111011010010011 (26 bits)
Octal	0o215473223
Hexadecimal	0x2367693

Divisor Catalog (8)

1 3 9 27 1,374,953 4,124,859 12,374,577 37,123,731

Collatz Trajectory (227 steps to reach 1)

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

37,123,731 111,371,194 55,685,597 167,056,792 83,528,396 41,764,198 20,882,099 62,646,298 31,323,149 93,969,448 46,984,724 23,492,362 11,746,181 35,238,544 17,619,272 8,809,636 4,404,818 2,202,409 6,607,228 3,303,614 1,651,807 4,955,422 2,477,711 7,433,134 3,716,567 11,149,702 5,574,851 16,724,554 8,362,277 25,086,832 12,543,416 6,271,708 3,135,854 1,567,927 4,703,782 2,351,891 7,055,674 3,527,837 10,583,512 5,291,756 2,645,878 1,322,939 3,968,818 1,984,409 5,953,228 2,976,614 1,488,307 4,464,922 2,232,461 6,697,384 3,348,692 1,674,346 837,173 2,511,520 1,255,760 627,880 313,940 156,970 78,485 235,456

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #37,123,730 Browse Full Index Next Integer #37,123,732 →