4335
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7368
- Proper Divisor Sum (Aliquot Sum)
- 3033
- 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
- 2176
- Möbius Function
- 0
- Radical
- 255
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 64
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=29A000148
- Number of symmetric filaments (strip polyominoes) with n square cells.at n=21A002014
- Expansion of 1/(10 - Sum_{k=1..9} exp(k*x)).at n=2A004707
- Coordination sequence T2 for Zeolite Code LOV.at n=44A008135
- a(n) = 2nd elementary symmetric function of the first n+1 odd positive integers.at n=8A024196
- a(n) = n + (n+1)^2 + (n+2)^3.at n=14A027620
- Numbers with exactly five distinct base-8 digits.at n=31A031985
- Number of binary rooted trees with n nodes and height at most 6.at n=18A036589
- Base-6 palindromes that start with 3.at n=26A043012
- Numbers m such that there are precisely 3 groups of order m.at n=22A055561
- Positive numbers whose product of digits is 12 times their sum.at n=41A062045
- Numbers k such that the smoothly undulating palindromic number (38*10^k - 83)/99 is a prime.at n=7A062220
- a(n) = 15*n^2.at n=17A064761
- Numbers k such that prime(k+3)-(k+3)*tau(k+3) = prime(k)-k*tau(k) where tau(k) = A000005(k) is the number of divisors of k.at n=30A067356
- Numbers n such that phi(n)+phi(n+1)=n+1.at n=23A067798
- Composite numbers k+1 such that k*phi(k+1) is a perfect square.at n=12A069068
- Numbers k such that phi(k) mod core(k) = 1 where core(k) is the squarefree part of k.at n=36A069946
- Numbers n such that sum of digits of n equals the squarefree part of n.at n=34A070274
- Number of two-rowed partitions of length 5.at n=21A070558
- A076340(A000290(n)), real part of squares mapped as defined in A076340, A076341.at n=44A076349