17377
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17378
- 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
- 17376
- Möbius Function
- -1
- Radical
- 17377
- 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
- 159
- 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
- 1997
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that are palindromic in base 2 (but written here in base 10).at n=30A016041
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=39A024599
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=38A025113
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=40A054809
- Numbers k such that x^k + x^3 + 1 is irreducible over GF(2).at n=39A057461
- Numbers n such that x^n + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=32A057496
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^8)*(1-x^9)*(1-x^10)).at n=25A069956
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 4,2]; short d-string notation of pattern = [642].at n=22A078855
- Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,2,4).at n=9A078961
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=30A091362
- Primes p such that p's set of distinct digits is {1,3,7}.at n=18A108382
- a(n) = min{k>0: the n-th convergent to e equals m/k! for some m}.at n=15A120355
- Primes congruent to 46 mod 53.at n=36A142576
- Primes congruent to 31 mod 59.at n=32A142758
- Primes congruent to 53 mod 61.at n=33A142851
- Primes that are the difference between a fourth power and a positive cube.at n=27A161735
- a(n) is the smallest nonnegative number whose American English name has the letter "n" in the n-th position.at n=40A164791
- Number of ways to arrange 2 nonattacking knights on the lower triangle of an n X n board.at n=18A194486
- Primes that are the sum of 25 consecutive primes.at n=23A215991
- Smallest k such that q=2*k*prime(n)^4+b , r=2*k*q^4+c , s=2*k*r^4+d and q, r and s are all prime numbers with b, c and d = -1 or 1.at n=35A225056