17747
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17748
- 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
- 17746
- Möbius Function
- -1
- Radical
- 17747
- 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
- 172
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2037
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Worst cases for Pierce expansions (denominators).at n=26A006538
- Worst cases for Pierce expansions (denominators).at n=27A006538
- Consider triangle in which n-th row contains the smallest set of n consecutive numbers whose LCM is divisible by primorial(n) (the product of first n primes). Sequence contains the first column.at n=19A083130
- Primes p such that p-3 and p+3 are divisible by a cube.at n=16A089201
- a(n)=(1+2^(1/3))^n.at n=12A128812
- Primes congruent to 45 mod 53.at n=37A142575
- Primes congruent to 47 mod 59.at n=37A142774
- Primes congruent to 57 mod 61.at n=33A142855
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 10000-11100-00111-00001 pattern in any orientation.at n=17A147382
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, -1), (0, 1, 0), (1, 0, 1), (1, 1, 0)}.at n=7A151122
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (0, 1), (1, 0)}.at n=9A151279
- a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range.at n=13A165599
- The smaller member of a twin prime pair in which both primes are emirps.at n=33A175215
- a(n) is the least integer such that the iterated modulus chain m_1=mod(a(n),m),m_2=mod(a(n),m_1),m_3=mod(a(n),m_2),..., m_n= (0 or 1) reaches a length n. The companion value m, associated to a(n), is given in A177968.at n=27A177967
- Least n-gap prime: a(n) = least prime p for which there is no prime between n*p and n*q, where q is the next prime after p.at n=34A195325
- Primes p such that f(f(p)) is prime where f(x) = x^8 + 1.at n=34A236070
- Primes p with q = p + 2 and prime(q) + 2 both prime.at n=33A236457
- Number of partitions of n such that 2*(greatest part) <= (number of parts).at n=45A237752
- Primes p such that (p^2+2)/3 and (p^4+2)/3 are prime.at n=19A256811
- Lesser of twin primes such that sum of twin prime pair is the sum of 2 nonzero squares.at n=33A270245