81,237,267

3² × 31 × 291173

81,237,267 factors as 3^2 × 31 × 291173. Its 12 positive divisors give a proper-divisor sum of 39,891,117, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3^2 × 31 × 291173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 121,128,384

Proper Divisor Sum 39,891,117

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #81237259 ← → #81237307

Radix Representation

Decimal	81237267
Binary	100110101111001010100010011 (27 bits)
Octal	0o465712423
Hexadecimal	0x4D79513

Divisor Catalog (12)

1 3 9 31 93 279 291,173 873,519 2,620,557 9,026,363 27,079,089 81,237,267

Collatz Trajectory (161 steps to reach 1)

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

81,237,267 243,711,802 121,855,901 365,567,704 182,783,852 91,391,926 45,695,963 137,087,890 68,543,945 205,631,836 102,815,918 51,407,959 154,223,878 77,111,939 231,335,818 115,667,909 347,003,728 173,501,864 86,750,932 43,375,466 21,687,733 65,063,200 32,531,600 16,265,800 8,132,900 4,066,450 2,033,225 6,099,676 3,049,838 1,524,919 4,574,758 2,287,379 6,862,138 3,431,069 10,293,208 5,146,604 2,573,302 1,286,651 3,859,954 1,929,977 5,789,932 2,894,966 1,447,483 4,342,450 2,171,225 6,513,676 3,256,838 1,628,419 4,885,258 2,442,629 7,327,888 3,663,944 1,831,972 915,986 457,993 1,373,980 686,990 343,495 1,030,486 515,243

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #81,237,266 Browse Full Index Next Integer #81,237,268 →