7373
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7548
- Proper Divisor Sum (Aliquot Sum)
- 175
- 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
- 7200
- Möbius Function
- 1
- Radical
- 7373
- Omega Function (Ω)
- 2
- 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
- 132
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- a(n) = a(n-1) + 2*a(n-3) with a(0)=a(1)=1, a(2)=3.at n=17A003229
- Pseudoprimes to base 100.at n=39A020228
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=27A020370
- a(n) = a(n-1) + Sum_{k=0..n-4} a(k)*a(n-4-k), a(0) = 1. Generalized Catalan Numbers.at n=18A023426
- Discriminants of quintic fields with 4 complex conjugates.at n=44A023685
- a(n) = Sum_{k=0..floor(n/2)} A026615(n-k,k).at n=18A026625
- Divisors of 99999999.at n=22A027890
- Base-6 palindromes that start with 5.at n=38A043014
- Numbers whose consecutive digits differ by 4.at n=48A048406
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=43A051897
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 7.at n=15A051972
- Number of positive integers <= 2^n of form x^2 + 20 y^2.at n=16A054233
- Number of asymmetric types of (3,n)-hypergraphs under action of symmetric group S_3.at n=10A055536
- a(n) = floor(a(n-1)*(Pi-1)); a(1) = 1.at n=12A063457
- Smallest multiple of (n+1)-st prime which is == 1 mod n-th prime.at n=24A073604
- Expansion of 1/(1-x-2*x^3).at n=18A077949
- Expansion of 1/(1+x+2*x^3).at n=18A077974
- Octo numbers (a polygonal sequence): a(n) = 5*n^2 - 6*n + 2 = (n-1)^2 + (2*n-1)^2.at n=38A079273
- Numbers k that are divisors of the number formed by concatenating (k-1), k and (k+1), in that order.at n=28A088877
- a(n) = Sum_{i+j+k=n, 0<=i,j,k<=n} (n+2k)!/(i! * j! * (3*k)!).at n=6A092467