7253
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
- 7254
- 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
- 7252
- Möbius Function
- -1
- Radical
- 7253
- 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
- 18
- 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
- 928
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=47A004210
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=14A020392
- Number of 1's in n-th term of A006711.at n=33A022477
- Size of lexicographic code of length n, Hamming distance 8 and weight 8.at n=39A030069
- Appending a digit to n^2 gives another perfect square.at n=17A031150
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=19A031420
- Numerators of continued fraction convergents to sqrt(969).at n=6A042874
- Primes with first digit 7.at n=45A045713
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 13.at n=23A050962
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=19A054808
- Numbers k such that 80*R_k + 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=19A056694
- Primes p such that x^37 = 2 has no solution mod p.at n=24A059223
- Primes that are the sum of five consecutive composite numbers.at n=44A060330
- Primes with every digit a prime and the sum of the digits a prime.at n=32A062088
- Primes p such that p^6 + p^3 + 1 is prime.at n=38A066100
- Primes for which the four closest primes are smaller.at n=14A075030
- Primes p such that (r-p)/log(p) > 3, where r is the next prime after p.at n=18A082888
- Convolution of primes with partition numbers.at n=15A086717
- n-th prime in the arithmetic progression n+k*(n+1) with k>0.at n=37A088733
- Primes p such that p-3 and p+3 are divisible by a cube.at n=6A089201