3090
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7488
- Proper Divisor Sum (Aliquot Sum)
- 4398
- 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
- 816
- Möbius Function
- 1
- Radical
- 3090
- 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
- 61
- 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
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=43A000064
- Number of partitions into non-integral powers.at n=11A000263
- Coordination sequence T5 for Zeolite Code MTW.at n=36A008200
- a(n) is the concatenation of n and 3n.at n=29A019551
- Convolution of Fibonacci numbers and primes.at n=12A023615
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=33A024929
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 1, 2, 1, 1.at n=12A025243
- Coordination sequence T4 for Zeolite Code CGS.at n=41A027368
- Number of unordered sets a, b, c, d of distinct integers from 1..n such that a+b+c+d = 0 (mod n).at n=43A032801
- Every run of digits of n in base 14 has length 2.at n=22A033012
- Numbers whose base-14 expansion has no run of digits with length < 2.at n=36A033027
- Number of partitions of n with equal number of parts congruent to each of 0 and 4 (mod 5).at n=33A035555
- Coordination sequence T4 for Zeolite Code STF.at n=37A038439
- a(n) = n! times probability that an ordered pair of elements of S_n chosen at random (with replacement) generate S_n.at n=4A040175
- Numerators of continued fraction convergents to sqrt(936).at n=6A042810
- a(n)=(s(n)+5)/9, where s(n)=n-th base 9 palindrome that starts with 4.at n=39A043075
- Numbers k such that the string 0,9 occurs in the base 10 representation of k but not of k-1.at n=32A044341
- Numbers n such that string 9,0 occurs in the base 10 representation of n but not of n-1.at n=33A044422
- Numbers k such that string 9,0 occurs in the base 10 representation of k but not of k+1.at n=33A044803
- Positive integers having more base-14 runs of even length than odd.at n=23A044840