9473
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9474
- 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
- 9472
- Möbius Function
- -1
- Radical
- 9473
- 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
- 60
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1174
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=44A000199
- Number of 3 X n binary matrices up to row and column permutations.at n=12A002727
- Numbers k such that the continued fraction for sqrt(k) has period 73.at n=5A020412
- a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3.at n=30A022866
- Numbers whose base-5 representation contains exactly two 0's and three 3's.at n=33A045198
- Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime.at n=23A046123
- Prime number spiral (clockwise, South spoke).at n=17A054566
- Primes p such that x^37 = 2 has no solution mod p.at n=32A059223
- Proth primes: primes of the form k*2^m + 1 with odd k < 2^m, m >= 1.at n=33A080076
- a(n) is least prime p such that 7 is the n-th term in the Euclid-Mullin sequence starting at p, or 0 if no such prime p exists.at n=22A094153
- Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.at n=9A094455
- a(n) = Sum_{k=0..floor(n/6)} C(n-3k,3k) * 2^(n-6k).at n=12A100137
- Primes p such that 2*p-27, 2*p+27, 2*p-33 and 2*p+33 are primes or -1 times primes.at n=18A103807
- Primes from merging of 4 successive digits in decimal expansion of Catalan's constant.at n=25A104918
- Primes of the form 512n+257.at n=4A105131
- Successive maxima of log(n#)/n where n# is the product of the primes less than n.at n=43A108310
- Primes p such that there exist three primes q, r and s with p^3=q^3+r^3+s^3.at n=16A114923
- Primes p that remain prime through at least 2 iterations of the function f(p) = p^2 + 4.at n=25A116886
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=21A118507
- Primes p such that denominator of Sum_{k=1..p-1} 1/k^2 is a square and denominator Sum_{k=1..p-1} 1/k^3 is a cube.at n=42A127061