λ
Integer Codex

331,801

331801
Deficient Odd Prime

For 331,801, the 2 positive divisors have a total of 331,802. Removing 331,801 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 331801
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 331,802
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #331781 ← → #331819

Radix Representation

Decimal 331801
Binary 1010001000000011001 (19 bits)
Octal 0o1210031
Hexadecimal 0x51019

Divisor Catalog (2)

Collatz Trajectory (91 steps to reach 1)

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

331,801 995,404 497,702 248,851 746,554 373,277 1,119,832 559,916 279,958 139,979 419,938 209,969 629,908 314,954 157,477 472,432 236,216 118,108 59,054 29,527 88,582 44,291 132,874 66,437 199,312 99,656 49,828 24,914 12,457 37,372 18,686 9,343 28,030 14,015 42,046 21,023 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516 25,258 12,629

More profiles

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