6118
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 5402
- 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
- 2376
- Möbius Function
- 1
- Radical
- 6118
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=19A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=19A004967
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor( n/2 ), s = natural numbers >= 2, t = natural numbers >= 3.at n=37A024869
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=21A025513
- Number of series-reduced planted compound windmills with n leaves of 2 colors.at n=6A032204
- Numerators of continued fraction convergents to sqrt(533).at n=4A042018
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=18A045306
- Sequence A001033 gives the numbers n such that the sum of the squares of n consecutive odd numbers x^2 + (x+2)^2 + ... +(x+2n-2)^2 = k^2 for some integer k. For each n, this sequence gives the least value of k.at n=20A056132
- McKay-Thompson series of class 42D for Monster.at n=45A058674
- Positive numbers whose product of digits is three times their sum.at n=44A062035
- Concatenation of n-th prime and n in decimal notation.at n=17A075110
- Indices of primes in sequence defined by A(0) = 71, A(n) = 10*A(n-1) - 9 for n > 0.at n=16A101128
- a(n) = a(n-1) + a(n-2) - a(n-3) + a(n-5).at n=30A107368
- "Correlation triangle" of central binomial coefficients A000984.at n=42A115255
- "Correlation triangle" of central binomial coefficients A000984.at n=38A115255
- Number of permutations of length n which avoid the patterns 1234, 1342, 4312.at n=9A116791
- Numbers k such that the central binomial coefficient C(2k,k) is divisible by k^2.at n=10A121943
- Triangle read by rows, 1 <= m <= n: t(n,m) = lcm(s(n,m), S(n,m)), where s(n,m) is an unsigned Stirling number of the first kind and S(n,m) is a Stirling number of the second kind.at n=33A128264
- Smallest m such that A132575(m) = n.at n=50A132576
- Minimal value of A007947(m*(3^n-m)) with m coprime to 3.at n=11A147801