5136
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 8256
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1696
- Möbius Function
- 0
- Radical
- 642
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- Coordination sequence T3 for Zeolite Code DDR.at n=45A008073
- Coordination sequence T3 for Zeolite Code VNI.at n=44A009909
- a(n) = n*(9*n-2).at n=24A013656
- Expansion of 1/(1 - x^2 - x^3 - x^4) = 1/((1 + x)*(1 - x - x^3)).at n=25A013979
- Number of compositions of n into prime parts.at n=25A023360
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-5).at n=23A023435
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=44A024809
- Number of prime powers (p^2, p^3, ...) <= 2^n.at n=30A036386
- Sums of 3 distinct powers of 4.at n=32A038471
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) <= cn(2,5) and cn(0,5) + cn(1,5) + cn(4,5) <= cn(3,5).at n=43A039906
- Numbers whose base-4 representation contains exactly four 0's and three 1's.at n=12A045036
- Numbers k such that 267*2^k + 1 is prime.at n=28A053350
- Differences between numbers k such that k and k+1 have the same sum of divisors.at n=26A054001
- Number of unlabeled semi-strong digraphs on n nodes with pairwise different components.at n=4A054952
- McKay-Thompson series of class 27a for Monster.at n=77A058600
- Triangle read by rows: T(n,k) is coefficient of z^n*w^k in 1/(1 - 2*z - 2*w + 2*z*w) read by rows in order 00, 10, 01, 20, 11, 02, ...at n=40A059474
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=27A060672
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 65 ).at n=34A063338
- The minimal number which has multiplicative persistence 8 in base n.at n=7A064872
- Numbers k such that the number of distinct primes dividing k = number of anti-divisors of k.at n=35A073713