λ
Ratio Atlas
Atlas › Integer Profiles › Node 276,016

276,016

24 × 13 × 1327
Abundant Even Composite

276,016 factors as 2^4 × 13 × 1327. Its 20 positive divisors give a proper-divisor sum of 300,336, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 1327
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 576,352
Proper Divisor Sum 300,336
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #276011 ← → #276019

Radix Representation

Decimal 276016
Binary 1000011011000110000 (19 bits)
Octal 0o1033060
Hexadecimal 0x43630

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 1,327 2,654 5,308 10,616 17,251 21,232 34,502 69,004 138,008 276,016

Collatz Trajectory (57 steps to reach 1)

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

276,016 138,008 69,004 34,502 17,251 51,754 25,877 77,632 38,816 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #276,015 Browse Full Index Next Integer #276,017 →