14723
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14724
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14722
- Möbius Function
- -1
- Radical
- 14723
- 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
- 133
- 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
- 1723
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of symmetric polynomial functions of degree n of a symmetric matrix (of indefinitely large size) under joint row and column permutations. Also number of multigraphs with n edges (allowing loops) on an infinite set of nodes.at n=8A007717
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=24A020437
- Primes that remain prime through 3 iterations of function f(x) = 2x + 7.at n=13A023275
- Primes that remain prime through 4 iterations of function f(x) = 2x + 7.at n=4A023305
- Primes that remain prime through 5 iterations of function f(x) = 2x + 7.at n=0A023333
- Numbers k such that 99*2^k+1 is prime.at n=38A032399
- Primes prime(k) for which A049076(k) = 3.at n=40A049079
- Prime number spiral (clockwise, Northeast spoke).at n=21A054553
- Primes which are the sum of three positive 4th powers.at n=25A085318
- a(1) = 1, a(n) = n+a(n-1) if n does not divide a(n-1), else a(n) = n*a(n-1).at n=40A095234
- Value of C in y = x^2+7x+C such that y is prime for all x = 0 to 4.at n=21A097436
- Primes p such that there exist three primes q, r and s with p^3=q^3+r^3+s^3.at n=23A114923
- Primes p such that pi(p) is obtained by dropping one of the digits of p in decimal expansion.at n=2A114924
- Numerators of partial sums of Catalan numbers scaled by powers of -1/8.at n=5A120789
- a(n) = prime(n^2 + n + 1).at n=41A122566
- Primes p of the form a^4+b^4+c^4 with a,b,c>=1 such that a^2+b^2+c^2 is another prime < p.at n=19A126117
- Prime numbers that are the sum of three distinct positive fourth powers.at n=14A126657
- Primes p such that p*q-p-q and p*q+p+q are prime where q=nextprime(p).at n=31A128548
- Primes of the form 210k + 23.at n=36A140844
- Primes congruent to 12 mod 47.at n=39A142363