5036
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
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8820
- Proper Divisor Sum (Aliquot Sum)
- 3784
- 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
- 2516
- Möbius Function
- 0
- Radical
- 2518
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 85
- 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
- Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.at n=19A000127
- Cluster series for square lattice.at n=11A003203
- Coordination sequence T1 for Zeolite Code MFI.at n=45A008161
- Coordination sequence T4 for Zeolite Code NON.at n=43A008215
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=18A020399
- a(n) = [ a(n-1)/a(1) + a(n-3)/a(3) + a(n-5)/a(5) + ... ], for n >= 3.at n=34A022871
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) <= cn(3,5) = cn(4,5).at n=66A036848
- Numerators of continued fraction convergents to sqrt(559).at n=5A042070
- Denominators of continued fraction convergents to sqrt(944).at n=13A042827
- a(n) = a(n-1) + the number of primes <= a(n-1).at n=35A061535
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).at n=38A063361
- Triangle read by rows: T(n,k) is the number of simple connected graphs on n unlabeled nodes having chromatic number k, 1 <= k <= n.at n=30A084269
- Number of partitions of n in which every part occurs 1, 4, or 5 times. Also number of partitions of n in which every part is congruent to {1, 3, 4, 5, 7} mod 8.at n=43A100853
- Least positive k such that k * Y^n + 1 is prime, where Y = 2^100+277, the first prime greater than a "little googol.".at n=30A108665
- Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum.at n=21A119897
- Nonoverlapping monocyclic staggered cycloalkanes (unbranched) - see Cyvin reference for precise definition.at n=7A121130
- Triangle read by rows: T(n,k) (n>=2, k=2..n) gives number of connected graphs on n nodes with chromatic number n-k+1.at n=26A126736
- Number of connected graphs on n nodes with chromatic number 3.at n=7A126737
- Binomial transform of [1, 3, 7, 0, 0, 0, ...].at n=38A140063
- Nonprimes formed by concatenation of the decimal digits of a nonprime and its index.at n=30A154507