4230
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 11232
- Proper Divisor Sum (Aliquot Sum)
- 7002
- 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
- 1104
- Möbius Function
- 0
- Radical
- 1410
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 82
- 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
- Number of permutations of an n-sequence discordant with three given permutations (see reference) in n-7 places.at n=2A000500
- Numbers that are the sum of 9 positive 6th powers.at n=47A003365
- a(n) = floor( n*(n-1)*(n-2)/23 ).at n=47A011905
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=31A027575
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 26.at n=4A031704
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 4 (mod 5).at n=54A035589
- Period of n-countdown club-passing juggling pattern.at n=44A039720
- Denominators of continued fraction convergents to sqrt(132).at n=5A041241
- Numerators of continued fraction convergents to sqrt(875).at n=9A042690
- Integers k such that in the list of divisors of k (in base 5), each digit 0-4 appears equally often.at n=10A045869
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= n/3.at n=28A048000
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n-1)/3.at n=28A048013
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n-2)/3.at n=28A048024
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A048149.at n=19A049712
- a(n) = 2*n^2 - 2.at n=45A054000
- Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x.at n=30A063948
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,7.at n=6A064240
- a(n) = Sum_{d|n} d*tau(d)^2.at n=35A068984
- Non-balanced numbers in A015769.at n=35A077803
- Expansion of 1/(1-2*x+x^2+x^3).at n=22A077941