λ
Prime Ledger

226,012

22 × 56503
Deficient Even Composite

226,012 has the prime decomposition 2^2 × 56503. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 56503
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 395,528
Proper Divisor Sum 169,516
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #226007 ← → #226013

Radix Representation

Decimal 226012
Binary 110111001011011100 (18 bits)
Octal 0o671334
Hexadecimal 0x372DC

Divisor Catalog (6)

1 2 4 56,503 113,006 226,012

Collatz Trajectory (137 steps to reach 1)

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

226,012 113,006 56,503 169,510 84,755 254,266 127,133 381,400 190,700 95,350 47,675 143,026 71,513 214,540 107,270 53,635 160,906 80,453 241,360 120,680 60,340 30,170 15,085 45,256 22,628 11,314 5,657 16,972 8,486 4,243 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612

More profiles

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