4611
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 1869
- 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
- 2912
- Möbius Function
- -1
- Radical
- 4611
- Omega Function (Ω)
- 3
- 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
- 108
- 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
- no
- Odd
- yes
Appears in sequences
- Sum of 12 positive 9th powers.at n=9A004801
- Coordination sequence T1 for Zeolite Code APC.at n=47A008032
- a(n) = n*(11*n - 1)/2.at n=29A022268
- 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 21.at n=28A031519
- Denominators of continued fraction convergents to sqrt(893).at n=9A042727
- Number of permutations on {1,...,n} containing any given pattern alpha in the symmetric group S_3.at n=6A056986
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 59 ).at n=32A063332
- Number of 2 X 2 singular integer matrices with elements from {0,...,n} up to row and column permutation.at n=42A064276
- Least k such that Sum_{i=1..k} (prime(i) + prime(i+2) - 2*prime(i+1)) = 2n + 1.at n=28A073051
- a(1) = 8; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=37A074344
- Pair the odd numbers such that the k-th pair is (r, r+2k) where r is the smallest odd number not included earlier: (1, 3), (5, 9), (7, 13), (11, 19), (15, 25), (17, 29), (21, 35), (23, 39), (27, 45), ... This is the sequence of the product of the members of pairs.at n=16A075320
- Number of primes between n^2 and n^3.at n=36A079648
- Numbers n such that nextprime(n^3)-prevprime(n^3) = 4.at n=26A090121
- Position of A051912 in A093110. a(n) is the number of integers < A051912(n) that can be expressed as a sum of three terms from A051912.at n=31A093111
- a(n) = 2*n^2 + 3.at n=48A093328
- Values of n for which A095777(n) is 15 (those terms which are expressible in decimal digits for bases 2 through 16, but not for base 17).at n=35A095784
- Numbers n for which 12n+1, 12n+5, 12n+7 and 12n+11 are primes.at n=29A123985
- Numbers k for which 2*k-1, 4*k-1 and 8*k-1 are primes.at n=39A124493
- Numbers n such that 1 - Sum_{k=1..n-1} A001223(k)*(-1)^k = 0.at n=31A128039
- Numbers k such that k and k^2 use only the digits 1, 2, 3, 4 and 6.at n=19A136969