14213
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14508
- Proper Divisor Sum (Aliquot Sum)
- 295
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13920
- Möbius Function
- 1
- Radical
- 14213
- 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
- 58
- 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
- Representation degeneracies for Neveu-Schwarz strings.at n=24A005299
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ (n/k)*[ n/k ] ] ].at n=20A024933
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=46A025212
- "BHK" (reversible, identity, unlabeled) transform of 1,0,1,0...(odds).at n=22A032089
- "BHK" (reversible, identity, unlabeled) transform of 0,1,1,1...at n=23A032090
- "BHK" (reversible, identity, unlabeled) transform of 2,1,1,1,...at n=10A032097
- Numerators of continued fraction convergents to sqrt(403).at n=6A041764
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 5.at n=17A051970
- Sum of the first n Sophie Germain primes.at n=37A066819
- a(n) = 10*n^2 - 6*n + 1.at n=37A087348
- Values of n such that len_x(n) = 0 in A090822.at n=13A091410
- Numerator of coefficient in the interpolation polynomial for initial values of the factorial, read by rows.at n=30A103361
- a(n) = (9 + 14*n + 12*n^2 + 4*n^3)/3.at n=21A166911
- First number in the n-th row of A172002.at n=43A168388
- Convolved with its aerated variant = A000041.at n=50A174065
- Number of intersections of diagonals in the interior and exterior of a regular n-gon.at n=19A211383
- Sum of the two smallest parts from the partitions of 4n into 4 parts with smallest part = 1.at n=27A239059
- Numbers n such that n*A007954(n) contains the same distinct digits as n.at n=14A248039
- G.f. A(x) satisfies: A(x) = Product_{k>=1} (1 + x^k*A(x))^k.at n=9A302287
- Numbers that are the sum of nine fourth powers in exactly nine ways.at n=31A345851