7451
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7452
- 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
- 7450
- Möbius Function
- -1
- Radical
- 7451
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 163
- 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
- 943
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = b(n) - c(n) where b(n) = [ (3/2)^n ] and c(n) is the n-th number not in sequence b.at n=21A014250
- Primes that are palindromic in base 7.at n=25A029975
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 85.at n=18A031583
- Upper prime of a difference of 18 between consecutive primes.at n=30A031937
- Denominators of continued fraction convergents to sqrt(163).at n=9A041301
- Base-7 palindromes that start with 3.at n=21A043017
- p, p+6 and p+8 are all primes (A046138) but p+2 is not.at n=38A049438
- Primes p from A031924 such that A052180(primepi(p)) = 29.at n=6A052236
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=25A054999
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=12A067379
- 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=56A089577
- Denominator(Bernoulli(n-1) + 1/n)=66, where n runs through the primes.at n=34A090799
- Sophie Germain type primes where 7*Prime[n]=2*Prime[m]+1.at n=31A104165
- Primes p such that 5*p - 6 is square.at n=12A110482
- Larger of two consecutive primes whose sum is a square.at n=12A118591
- Primes of the form prime(n+1)*prime(n+3) - prime(n)*prime(n+2) - 1, ordered by n.at n=34A118624
- Row sums of triangle A131402.at n=12A131403
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 5 and 7.at n=9A136856
- Primes of the form 24x^2+35y^2.at n=33A139994
- Primes of the form 26x^2+26xy+59y^2.at n=35A140024