λ
Prime Ledger

1,233,731

41 × 30091
Deficient Odd Composite

1,233,731 has the prime decomposition 41 × 30091. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 30091
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,263,864
Proper Divisor Sum 30,133
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1233721 ← → #1233751

Radix Representation

Decimal 1233731
Binary 100101101001101000011 (21 bits)
Octal 0o4551503
Hexadecimal 0x12D343

Divisor Catalog (4)

1 41 30,091 1,233,731

Collatz Trajectory (80 steps to reach 1)

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

1,233,731 3,701,194 1,850,597 5,551,792 2,775,896 1,387,948 693,974 346,987 1,040,962 520,481 1,561,444 780,722 390,361 1,171,084 585,542 292,771 878,314 439,157 1,317,472 658,736 329,368 164,684 82,342 41,171 123,514 61,757 185,272 92,636 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37

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