13323
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 17768
- Proper Divisor Sum (Aliquot Sum)
- 4445
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8880
- Möbius Function
- 1
- Radical
- 13323
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest natural number requiring n letters in English.at n=39A001166
- Number of letters in English name for n increases at these numbers.at n=30A001619
- Coordination sequence for sigma-CrFe, Position Xa.at n=29A009962
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=33A023059
- Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A026659.at n=19A026669
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 76.at n=33A031574
- Shifts left under the "BIK" (reversible, indistinct, unlabeled) transform with a(1) = 2.at n=8A032130
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 3,2,0,1.at n=4A037790
- Smallest positive integer requiring at least n letters (not including hyphens) when spelled out in English.at n=38A045494
- Smallest positive integer requiring at least n letters (not including hyphens) to be spelled out in English.at n=41A045495
- Indices of records in length of English name of n including spaces and dashes (A052360): n such that k < n => A052360(k) < A052360(n).at n=31A052362
- Numbers n whose English name has a greater length (A005589) than any smaller number.at n=27A052363
- a(n), when spelled in English, is the smallest positive integer with exactly n letters.at n=36A080777
- a(n) is the smallest positive integer > a(n-1) with exactly n letters when spelled in English.at n=36A084390
- Pairwise sums of general ballot numbers (A002026).at n=10A102071
- Numbers n such that sigma(n) - phi(n) is a repdigit greater than 2.at n=41A116020
- Least natural number in English which requires exactly n characters to spell including spaces and hyphens, or 0 if no such number exists. The inverse of A052360.at n=41A132363
- Least nonnegative integer which requires n letters to spell in English, excluding spaces and hyphens. A right inverse of A005589.at n=36A134629
- Number of unlabeled n-node simple graphs with at most one cycle in each connected component.at n=12A134964
- a(n) is the smallest number whose name in US English contains n consonants.at n=24A157899