14561
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14562
- 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
- 14560
- Möbius Function
- -1
- Radical
- 14561
- 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
- 164
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1707
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=31A035790
- Right diagonal of triangle in A072467.at n=19A072469
- Lower twin primes with lower twin prime index.at n=17A088460
- a(n) = Sum_{k=0..n} floor(binomial(n,k)/(k+1)).at n=16A095718
- Primes of the form a^4 + b^3 with b>0.at n=30A100271
- Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime.at n=11A101315
- Primes p = prime(k) such that both p+2 and prime(k+6)-2 are prime numbers.at n=36A105413
- Primes p such that there exist three primes q, r and s with p^3=q^3+r^3+s^3.at n=22A114923
- Least prime p of a quartet of 4 distinct primes {p, p+2, q, q+2} such that each digit of q is the same as the corresponding digit of p except that each 6 in p corresponds to a 9 in q and vice versa.at n=2A122712
- Numbers k such that (7^k - 5^k)/2 is prime.at n=7A128344
- Primes of the form 210n+71.at n=35A140856
- Primes congruent to 38 mod 47.at n=41A142389
- Primes congruent to 8 mod 49.at n=40A142420
- Primes congruent to 39 mod 53.at n=35A142569
- Primes congruent to 47 mod 59.at n=30A142774
- Primes congruent to 43 mod 61.at n=26A142841
- a(n) = (n^3 + 18*n^2 + 17*n + 6)/6.at n=39A143058
- Triangle of primes described in A144954, read by rows.at n=25A144960
- Centered heptagonal prime numbers.at n=18A144974
- Centered heptagonal twin prime numbers.at n=9A144975