4513
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4514
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4512
- Möbius Function
- -1
- Radical
- 4513
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 183
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 612
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n^2 in square lattice.at n=38A000328
- Primes with 7 as smallest primitive root.at n=39A001126
- Centered square numbers: a(n) = 2*n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values.at n=47A001844
- Divisors of 2^47 - 1.at n=2A003552
- Coordination sequence T4 for Zeolite Code MTT.at n=41A008192
- tanh(tan(arcsinh(x)))=x-1/3!*x^3+1/5!*x^5-57/7!*x^7+4513/9!*x^9...at n=4A012165
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=31A014755
- Numbers k such that the continued fraction for sqrt(k) has period 69.at n=4A020408
- Initial members of prime triples (p, p+4, p+6).at n=38A022005
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=35A023262
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=16A023282
- Primes that remain prime through 3 iterations of function f(x) = 8x + 5.at n=8A023293
- Primes of the form j^2 + (j+1)^2.at n=20A027862
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=25A031800
- Numbers whose set of base-11 digits is {3,4}.at n=18A032835
- Primes of form x^2+66*y^2.at n=33A033242
- Primes of the form x^2+74*y^2.at n=29A033248
- Number of labeled trees of nonempty sets with n points. (Each node is a set of 1 or more points.)at n=6A038052
- Numerators of continued fraction convergents to sqrt(996).at n=8A042928
- Coordination sequence T1 for Zeolite Code AEN.at n=42A047950