13373
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13728
- Proper Divisor Sum (Aliquot Sum)
- 355
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13020
- Möbius Function
- 1
- Radical
- 13373
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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=40A001166
- Number of letters in English name for n increases at these numbers.at n=31A001619
- Multiplicity of highest weight (or singular) vectors associated with character chi_143 of Monster module.at n=38A034531
- Smallest positive integer requiring at least n letters (not including hyphens) when spelled out in English.at n=39A045494
- Smallest positive integer requiring at least n letters (not including hyphens) to be spelled out in English.at n=42A045495
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 18.at n=51A050967
- 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=32A052362
- Numbers n whose English name has a greater length (A005589) than any smaller number.at n=28A052363
- a(n), when spelled in English, is the smallest positive integer with exactly n letters.at n=37A080777
- a(n) is the smallest positive integer > a(n-1) with exactly n letters when spelled in English.at n=37A084390
- Bisection of A096441.at n=29A096967
- 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=42A132363
- Least nonnegative integer which requires n letters to spell in English, excluding spaces and hyphens. A right inverse of A005589.at n=37A134629
- a(n) is the smallest nonnegative number whose American English name has the letter "e" in the n-th position.at n=39A164790
- a(n) = Smallest number which has in its English name the letter "T" in the n-th position beginning the count from the end.at n=39A173206
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=2, k=1 and l=-1.at n=8A176828
- Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011.at n=3A259889
- Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011.at n=2A259890
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011.at n=17A259894
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011.at n=18A259894