λ
Prime Ledger

2,231,802

2 × 32 × 123989
Abundant Even Composite

2,231,802 has the prime decomposition 2 × 3^2 × 123989. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 123989
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,835,610
Proper Divisor Sum 2,603,808
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2231791 ← → #2231809

Radix Representation

Decimal 2231802
Binary 1000100000110111111010 (22 bits)
Octal 0o10406772
Hexadecimal 0x220DFA

Divisor Catalog (12)

1 2 3 6 9 18 123,989 247,978 371,967 743,934 1,115,901 2,231,802

Collatz Trajectory (117 steps to reach 1)

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

2,231,802 1,115,901 3,347,704 1,673,852 836,926 418,463 1,255,390 627,695 1,883,086 941,543 2,824,630 1,412,315 4,236,946 2,118,473 6,355,420 3,177,710 1,588,855 4,766,566 2,383,283 7,149,850 3,574,925 10,724,776 5,362,388 2,681,194 1,340,597 4,021,792 2,010,896 1,005,448 502,724 251,362 125,681 377,044 188,522 94,261 282,784 141,392 70,696 35,348 17,674 8,837 26,512 13,256 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362

More profiles

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