7333
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7334
- 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
- 7332
- Möbius Function
- -1
- Radical
- 7333
- 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
- 44
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 935
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 8 nonzero 8th powers.at n=12A003386
- Numbers k such that the continued fraction for sqrt(k) has period 99.at n=4A020438
- Primes that contain digits 3 and 7 only.at n=10A020463
- Discriminants of quintic fields with 4 complex conjugates.at n=43A023685
- Right-truncatable primes: every prefix is prime.at n=41A024770
- a(n) = [ 1/(2*t(n+1) - t(n) - t(n+2)) ], where t(n) = tan(Pi/2 - 1/n) satisfies n-1 < t(n) < n for all n >= 1.at n=15A024817
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A008288.at n=4A026936
- a(n) = self-convolution of row n of array T given by A026714.at n=6A027201
- Primes p such that digits of p appear in p^2 and p^3.at n=40A030085
- [ exp(3/8)*n! ].at n=6A030960
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=19A031816
- Lower prime of a pair of consecutive primes having a difference of 16.at n=24A031934
- Concatenate n-th prime and n-th composite.at n=20A038530
- Primes that are concatenations of k-th prime and k-th composite.at n=2A038531
- Numbers having three 3's in base 10.at n=33A043503
- Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6*n.at n=11A052357
- Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=10A056217
- Near-repdigit primes such that all digits are equal except for an end-digit.at n=47A056710
- Primes p such that x^47 = 2 has no solution mod p.at n=22A059257
- Primes p such that p^11 reversed is also prime.at n=31A059704