5144
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9660
- Proper Divisor Sum (Aliquot Sum)
- 4516
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2568
- Möbius Function
- 0
- Radical
- 1286
- Omega Function (Ω)
- 4
- 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
- 28
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 10 positive 7th powers.at n=27A003377
- Number of ways in which n identical balls can be distributed among 4 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=23A005337
- Number of partitions of {1, 2, ..., 2n} into pairs whose differences are primes.at n=8A009692
- Number of trees on n nodes with forbidden limbs.at n=8A014271
- 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 17.at n=36A031515
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 3 (mod 5).at n=43A035567
- E.g.f.: exp(4x)/(1-x).at n=5A053487
- Number of primitive (period n) step cyclic shifted sequences using a maximum of four different symbols.at n=8A056421
- Number of 2 X 2 matrices with elements from {0,1,2,...,n} and with Nim-Determinant 1. (The Nim-Determinant of the 2 X 2 matrix [a,b; c,d] is defined to be a*d xor b*c, where * denotes Nim-Multiplication.)at n=22A059954
- Numbers k such that prime(k+2)-(k+2)*tau(k+2) = prime(k-2)-(k-2)*tau(k-2) where tau(k) = A000005(k) is the number of divisors of k.at n=15A067354
- Nested floor product of n and fractions (k+1)/k for all k>0 (mod 3), divided by 3.at n=33A073360
- Square array of numbers related to the incomplete gamma function, read by antidiagonals.at n=50A080955
- Transposed version of A080955: T(n,k) = A080955(k,n), n>=0, k>=-1.at n=60A089258
- a(n) = 2^n for n = 0..4; for n > 4, a(n) = 2*a(n-1) + a(n-5).at n=12A098588
- G.f. satisfies A(x) = x*(1+A(x))^4/(1+A(x)^2).at n=6A101478
- a(n)=k-n where prime(k) is the smallest prime greater than prime(n)*prime(n+1).at n=47A120941
- 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=49A134558
- Number of 1-sided strip polycairos with n cells.at n=9A151535
- Even numbers n for which phi(n) > phi(n+1).at n=34A161963
- Numbers k such that the sum of the decimal digits of k is a substring of k and of k^3.at n=47A162016