3,006,284

2² × 23 × 41 × 797

3,006,284 factors as 2^2 × 23 × 41 × 797. Its 24 positive divisors give a proper-divisor sum of 2,624,404, so this integer is deficient. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 41 × 797

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,630,688

Proper Divisor Sum 2,624,404

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3006277 ← → #3006299

Radix Representation

Decimal	3006284
Binary	1011011101111101001100 (22 bits)
Octal	0o13357514
Hexadecimal	0x2DDF4C

Divisor Catalog (24)

Collatz Trajectory (275 steps to reach 1)

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

3,006,284 1,503,142 751,571 2,254,714 1,127,357 3,382,072 1,691,036 845,518 422,759 1,268,278 634,139 1,902,418 951,209 2,853,628 1,426,814 713,407 2,140,222 1,070,111 3,210,334 1,605,167 4,815,502 2,407,751 7,223,254 3,611,627 10,834,882 5,417,441 16,252,324 8,126,162 4,063,081 12,189,244 6,094,622 3,047,311 9,141,934 4,570,967 13,712,902 6,856,451 20,569,354 10,284,677 30,854,032 15,427,016 7,713,508 3,856,754 1,928,377 5,785,132 2,892,566 1,446,283 4,338,850 2,169,425 6,508,276 3,254,138 1,627,069 4,881,208 2,440,604 1,220,302 610,151 1,830,454 915,227 2,745,682 1,372,841 4,118,524

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,006,283 Browse Full Index Next Integer #3,006,285 →