7433
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7434
- 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
- 7432
- Möbius Function
- -1
- Radical
- 7433
- 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
- 70
- 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
- 942
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=19A020382
- Upper prime of a difference of 16 between consecutive primes.at n=25A031935
- Lower prime of a difference of 18 between consecutive primes.at n=30A031936
- Primes of form x^2 + 94*y^2.at n=49A033204
- Zeroless primes that remain prime if any digit is deleted.at n=22A034302
- Decimal part of a(n)^(1/n) starts with a pandigital anagram (digits 0 through 9 in some order).at n=28A035304
- Primes remaining prime if any digit is deleted (zeros allowed).at n=27A051362
- Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2*n.at n=4A052358
- An approximation to sigma_{5/2}(n): floor( sum_{d|n} d^(5/2) ).at n=34A058272
- Primes p such that p^7 reversed is also prime.at n=44A059700
- Smaller of two consecutive primes whose sum is a square.at n=12A061275
- The first of two consecutive primes with equal digital sums.at n=20A066540
- Diagonal of triangle in A082737.at n=16A082738
- a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=54A089577
- a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=33A089577
- Primes p = prime(n) such that p + sum-of-digits(p) +- 1 = prime(n+1).at n=38A090180
- Lesser of consecutive primes whose sum is a perfect power (A001597).at n=16A091624
- Numerators of "Farey fraction" approximations to Pi.at n=47A097545
- Primes from merging of 4 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2.at n=26A103810
- a(1) = 1; for n>1, a(n) = least k such that concatenation of n copies of k with all previous concatenations gives a prime.at n=27A111471