λ
Integer Codex

333,969

3 × 111323
Deficient Odd Composite

For 333,969, the 4 positive divisors have a total of 445,296. Removing 333,969 leaves 111,327, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 111323
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 445,296
Proper Divisor Sum 111,327
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #333959 ← → #333973

Radix Representation

Decimal 333969
Binary 1010001100010010001 (19 bits)
Octal 0o1214221
Hexadecimal 0x51891

Divisor Catalog (4)

Collatz Trajectory (114 steps to reach 1)

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

333,969 1,001,908 500,954 250,477 751,432 375,716 187,858 93,929 281,788 140,894 70,447 211,342 105,671 317,014 158,507 475,522 237,761 713,284 356,642 178,321 534,964 267,482 133,741 401,224 200,612 100,306 50,153 150,460 75,230 37,615 112,846 56,423 169,270 84,635 253,906 126,953 380,860 190,430 95,215 285,646 142,823 428,470 214,235 642,706 321,353 964,060 482,030 241,015 723,046 361,523 1,084,570 542,285 1,626,856 813,428 406,714 203,357 610,072 305,036 152,518 76,259

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