1830
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
- 4464
- Proper Divisor Sum (Aliquot Sum)
- 2634
- 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
- 480
- Möbius Function
- 1
- Radical
- 1830
- 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
- yes
- 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
- 130
- 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
- Number of rooted trees with 5 nodes of disjoint sets of labels with union {1..n}. If a node has an empty set of labels then it must have at least two children.at n=4A005175
- Number of ternary squarefree words of length n.at n=19A006156
- Numbers not of form p + 2^x + 2^y.at n=42A006286
- Coefficients of period polynomials.at n=16A006308
- Number of homogeneous primitive partition identities with largest part n.at n=7A007343
- Coordination sequence T4 for Zeolite Code BRE.at n=28A008061
- Coordination sequence T2 for Scapolite.at n=27A008263
- a(n) = p*(p-1)/2 for p = prime(n).at n=17A008837
- Coordination sequence T4 for Zeolite Code RSN.at n=28A009888
- Molien series for real extraspecial group 2^{1+2*3} of degree 8 and order 128 formed from tensor products of Pauli matrices (0,1, 1,0) and (1,0, 0,-1).at n=7A014095
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=30A014105
- Three-fold exponential convolution of primes with themselves (divided by 2).at n=4A014348
- Even triangular numbers.at n=30A014494
- a(n) = lcm(n, Fibonacci(n)).at n=14A014965
- Numbers k such that sigma(k) = sigma(k+10).at n=10A015880
- Binomial coefficients C(n,59).at n=2A017723
- Binomial coefficients C(61,n).at n=2A017777
- Smallest triangular number that begins with n.at n=17A018855
- Fibonacci sequence beginning 0, 3.at n=15A022086
- [ (3rd elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+2 positive integers congruent to 1 mod 4}.at n=50A024388