5310
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
- 14040
- Proper Divisor Sum (Aliquot Sum)
- 8730
- 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
- 1392
- Möbius Function
- 0
- Radical
- 1770
- 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
- 54
- 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
- Generalized Lucas numbers.at n=13A006491
- n written in fractional base 7/5.at n=21A024642
- Numerators of continued fraction convergents to sqrt(880).at n=5A042700
- Number of factorizations into distinct factors with 3 levels of parentheses indexed by prime signatures. A050349(A025487).at n=30A050350
- Numbers k such that k and its reversal are both multiples of 15.at n=27A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=22A062914
- Least number k such that floor( k / digit reversal of k ) = n.at n=38A068779
- Number of ways writing n! as a product of some other numbers which has no digits equal to 1.at n=6A069468
- a(1) = 1, a(n+1) is the smallest number such that there are n primes between a(n) and a(n+1) exclusive.at n=37A075342
- a(n) = A051201(n^2).at n=33A078163
- Number of (3412,2341)-, (3412,4123)- and (3412,52341)-avoiding involutions in S_n.at n=11A085584
- 3 times hexagonal numbers: a(n) = 3*n*(2*n-1).at n=30A094159
- Numbers n such that 6*10^n + 5*R_n - 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=21A103039
- 3-Smith numbers.at n=19A104391
- Number of positive integers <= 10^n that are divisible by no prime exceeding 5.at n=14A106598
- Number of norep emirps less than 10^n.at n=6A131593
- Smallest integer that starts with n and is divisible by every nonzero digit of n.at n=52A132378
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=10.at n=13A135195
- 9 times pentagonal numbers: 9*n*(3*n-1)/2.at n=20A152996
- Numbers k such that k^1 + k^2 + k^3 + k^4 -+ 1 are twin primes.at n=45A156021