λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,132,972

6,132,972

22 × 3 × 19 × 37 × 727
Abundant Even Composite

6,132,972 factors as 2^2 × 3 × 19 × 37 × 727. Its 48 positive divisors give a proper-divisor sum of 9,358,868, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 37 × 727
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,491,840
Proper Divisor Sum 9,358,868
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6132967 ← → #6133003

Radix Representation

Decimal 6132972
Binary 10111011001010011101100 (23 bits)
Octal 0o27312354
Hexadecimal 0x5D94EC

Divisor Catalog (48)

1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 727 1,406 1,454 2,109 2,181 2,812 2,908 4,218 4,362 8,436 8,724 13,813 26,899 27,626 41,439 53,798 55,252 80,697 82,878 107,596 161,394 165,756 322,788 511,081 1,022,162 1,533,243 2,044,324 3,066,486 6,132,972

Collatz Trajectory (196 steps to reach 1)

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

6,132,972 3,066,486 1,533,243 4,599,730 2,299,865 6,899,596 3,449,798 1,724,899 5,174,698 2,587,349 7,762,048 3,881,024 1,940,512 970,256 485,128 242,564 121,282 60,641 181,924 90,962 45,481 136,444 68,222 34,111 102,334 51,167 153,502 76,751 230,254 115,127 345,382 172,691 518,074 259,037 777,112 388,556 194,278 97,139 291,418 145,709 437,128 218,564 109,282 54,641 163,924 81,962 40,981 122,944 61,472 30,736 15,368 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,132,971 Browse Full Index Next Integer #6,132,973 →