4748
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8316
- Proper Divisor Sum (Aliquot Sum)
- 3568
- 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
- 2372
- Möbius Function
- 0
- Radical
- 2374
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 77
- 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
- a(n) = a(n-1) + n * a(n-2), where a(1) = 1, a(2) = 2.at n=8A001475
- Coordination sequence T1 for Zeolite Code MTW.at n=45A008196
- Coordination sequence T3 for Zeolite Code -CHI.at n=44A009848
- Sum of gcd(x, y) for 1 <= x, y <= n.at n=42A018806
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=42A020379
- Pair up the numbers.at n=23A030655
- Number of days in n years (n=4 is the first leap year).at n=12A033171
- Number of days in n years (n=3 is the first leap year).at n=12A033172
- Number of days in n years (n=2 is the first leap year).at n=12A033173
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=42A061766
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=31A063365
- Numbers n such that sigma(n) = phi(n) + phi(n-1) + phi(n-2).at n=6A067202
- Sum of terms of continued fraction expansion of frac((3/2)^n).at n=48A071316
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=20A073775
- Constant term when a polynomial of degree n-1 is fitted to the first n primes.at n=14A082594
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=24A098080
- Numbers k such that phi(k) + prime(k) is a triangular number.at n=23A115908
- Floor(Zeta(3)^n).at n=45A125890
- a(0)=1; for n > 0, a(n) = a(n-1) + a(prime(n)(mod n)), where prime(n) is the n-th prime.at n=28A127066
- Number of unit square lattice cells enclosed by origin centered circle of diameter 2n+1.at n=39A136486