λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,725,250

2,725,250

2 × 53 × 11 × 991
Abundant Even Composite

2,725,250 factors as 2 × 5^3 × 11 × 991. Its 32 positive divisors give a proper-divisor sum of 2,845,822, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 11 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,571,072
Proper Divisor Sum 2,845,822
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2725237 ← → #2725259

Radix Representation

Decimal 2725250
Binary 1010011001010110000010 (22 bits)
Octal 0o12312602
Hexadecimal 0x299582

Divisor Catalog (32)

1 2 5 10 11 22 25 50 55 110 125 250 275 550 991 1,375 1,982 2,750 4,955 9,910 10,901 21,802 24,775 49,550 54,505 109,010 123,875 247,750 272,525 545,050 1,362,625 2,725,250

Collatz Trajectory (156 steps to reach 1)

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

2,725,250 1,362,625 4,087,876 2,043,938 1,021,969 3,065,908 1,532,954 766,477 2,299,432 1,149,716 574,858 287,429 862,288 431,144 215,572 107,786 53,893 161,680 80,840 40,420 20,210 10,105 30,316 15,158 7,579 22,738 11,369 34,108 17,054 8,527 25,582 12,791 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #2,725,249 Browse Full Index Next Integer #2,725,251 →