17123
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17124
- 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
- 17122
- Möbius Function
- -1
- Radical
- 17123
- 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
- 27
- 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
- 1974
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes which are the sum of three positive 4th powers.at n=28A085318
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 67, the third irregular prime.at n=17A093059
- Number of partitions of n into relatively prime parts such that multiplicities of parts are also relatively prime.at n=36A100953
- Primes for which the level is equal to 9 in A117563.at n=40A118481
- Primes p such that their cubes are pandigital.at n=7A124629
- 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=21A126117
- Prime numbers that are the sum of three distinct positive fourth powers.at n=16A126657
- Primes p such that p*q-p-q and p*q+p+q are prime where q=nextprime(p).at n=35A128548
- Sums of two or more distinct 4th powers of primes.at n=20A130833
- Numbers k such that k and k^2 use only the digits 1, 2, 3, 7 and 9.at n=16A136983
- Primes p2 such that p1^3 + p2^2 is an average of twin primes and p1 < p2 are consecutive primes.at n=13A138755
- The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6*n, 0<k<n both primes.at n=48A139602
- Primes congruent to 4 mod 53.at n=39A142534
- Primes congruent to 13 mod 59.at n=34A142740
- Primes congruent to 43 mod 61.at n=29A142841
- Primes p mentioned in A155214.at n=10A145531
- Expansion of 1/(1 - x - x^8 - x^15 + x^16).at n=50A173925
- Primes which are sums of two or more distinct 4th powers of primes.at n=4A193411
- Primes formed by concatenation (exponent then prime) of prime factorizations of the positive integers.at n=36A226095
- Number of partitions of n such that (greatest part) <= (multiplicity of least part).at n=46A240182