λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,771,116

5,771,116

22 × 13 × 29 × 43 × 89
Abundant Even Composite

5,771,116 factors as 2^2 × 13 × 29 × 43 × 89. Its 48 positive divisors give a proper-divisor sum of 5,871,284, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 43 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,642,400
Proper Divisor Sum 5,871,284
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5771111 ← → #5771131

Radix Representation

Decimal 5771116
Binary 10110000000111101101100 (23 bits)
Octal 0o26007554
Hexadecimal 0x580F6C

Divisor Catalog (48)

1 2 4 13 26 29 43 52 58 86 89 116 172 178 356 377 559 754 1,118 1,157 1,247 1,508 2,236 2,314 2,494 2,581 3,827 4,628 4,988 5,162 7,654 10,324 15,308 16,211 32,422 33,553 49,751 64,844 67,106 99,502 110,983 134,212 199,004 221,966 443,932 1,442,779 2,885,558 5,771,116

Collatz Trajectory (69 steps to reach 1)

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

5,771,116 2,885,558 1,442,779 4,328,338 2,164,169 6,492,508 3,246,254 1,623,127 4,869,382 2,434,691 7,304,074 3,652,037 10,956,112 5,478,056 2,739,028 1,369,514 684,757 2,054,272 1,027,136 513,568 256,784 128,392 64,196 32,098 16,049 48,148 24,074 12,037 36,112 18,056 9,028 4,514 2,257 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,771,115 Browse Full Index Next Integer #5,771,117 →