13977
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 20202
- Proper Divisor Sum (Aliquot Sum)
- 6225
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9312
- Möbius Function
- 0
- Radical
- 4659
- Omega Function (Ω)
- 3
- 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
- 89
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Concatenations C1 and C2 and C3 are all prime (see the comment lines).at n=6A034817
- Numbers whose base-7 representation contains exactly four 5's.at n=16A043416
- Number of isolated-pentagon (IPR) fullerenes with 2n vertices (or carbon atoms).at n=31A046880
- Numbers n such that 237*2^n-1 is prime.at n=32A050877
- E.g.f.: exp(3x)/(1-x).at n=6A053486
- Number of forests of B-trees of order 3 with n labeled leaves.at n=23A058518
- Engel expansion of zeta(8)=sum(i>0,1/i^8).at n=6A067916
- Square array of numbers related to the incomplete gamma function, read by antidiagonals.at n=51A080955
- Transposed version of A080955: T(n,k) = A080955(k,n), n>=0, k>=-1.at n=61A089258
- L-th order palindromes with L > 2.at n=4A089381
- G.f.: (x-1)/(-2*x^2 + 3*x^3 + 2*x - 1).at n=18A102785
- Array read by antidiagonals, a(n,k) = gamma(n+1,k)*e^k, where gamma(n,k) is the upper incomplete gamma function and e is the exponential constant 2.71828...at n=48A134558
- Numbers k such that 7*(10^(2*k+1)-1)/9 - 3*10^k is prime.at n=11A183179
- Number of (n+1)X(n+1) binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant.at n=3A185458
- Number of (n+1)X5 binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant.at n=3A185462
- T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant.at n=24A185467
- Number of nX4 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it, modulo 4.at n=2A239401
- T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.at n=17A239405
- Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.at n=3A239407
- Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=7A299558