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Atlas › Integer Profiles › Node 3,056,080

3,056,080

24 × 5 × 38201
Abundant Even Composite

3,056,080 factors as 2^4 × 5 × 38201. Its 20 positive divisors give a proper-divisor sum of 4,049,492, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 38201
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,105,572
Proper Divisor Sum 4,049,492
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3056077 ← → #3056083

Radix Representation

Decimal 3056080
Binary 1011101010000111010000 (22 bits)
Octal 0o13520720
Hexadecimal 0x2EA1D0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 38,201 76,402 152,804 191,005 305,608 382,010 611,216 764,020 1,528,040 3,056,080

Collatz Trajectory (151 steps to reach 1)

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

3,056,080 1,528,040 764,020 382,010 191,005 573,016 286,508 143,254 71,627 214,882 107,441 322,324 161,162 80,581 241,744 120,872 60,436 30,218 15,109 45,328 22,664 11,332 5,666 2,833 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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