λ
Harmonic Matrix

111,323

111323
Deficient Odd Prime

111,323 has digital root 2. The neighboring primes are 111317 and 111337; its proper-divisor sum differs from the starting integer by -111,322.

Prime Factor Structure

Factorization String 111323
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 111,324
Proper Divisor Sum 1
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #111317 ← → #111337

Radix Representation

Decimal 111323
Binary 11011001011011011 (17 bits)
Octal 0o331333
Hexadecimal 0x1B2DB

Divisor Catalog (2)

Collatz Trajectory (115 steps to reach 1)

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

111,323 333,970 166,985 500,956 250,478 125,239 375,718 187,859 563,578 281,789 845,368 422,684 211,342 105,671 317,014 158,507 475,522 237,761 713,284 356,642 178,321 534,964 267,482 133,741 401,224 200,612 100,306 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

More profiles

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