λ
Prime Ledger

1,820,813

1820813
Deficient Odd Prime

1,820,813 has the prime decomposition 1820813. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 1820813
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,820,814
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1820809 ← → #1820821

Radix Representation

Decimal 1820813
Binary 110111100100010001101 (21 bits)
Octal 0o6744215
Hexadecimal 0x1BC88D

Divisor Catalog (2)

Collatz Trajectory (65 steps to reach 1)

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

1,820,813 5,462,440 2,731,220 1,365,610 682,805 2,048,416 1,024,208 512,104 256,052 128,026 64,013 192,040 96,020 48,010 24,005 72,016 36,008 18,004 9,002 4,501 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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