17127
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 27144
- Proper Divisor Sum (Aliquot Sum)
- 10017
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10320
- Möbius Function
- 0
- Radical
- 5709
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 110
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into parts not of the form 25k, 25k+9 or 25k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=37A036008
- Numbers whose base-5 representation contains exactly three 0's and three 2's.at n=17A045187
- Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's.at n=32A049355
- Integers n such that n = A067030(j) for some j and A067286(j) < A067034(j).at n=18A068798
- Expansion of (1-sqrt(1-8*x))/((1-x)*(4*x*sqrt(1-8*x))).at n=5A098405
- From a quiz.at n=2A122473
- Number of maximal cliques in the n-triangular honeycomb queen graph.at n=39A289877
- Number of n X 4 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.at n=7A298217
- Number of nX5 0..1 arrays with every element equal to 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=11A298954
- Expansion of Product_{k>=1} (Product_{j=1..k} (1 + x^(k*j))^j).at n=33A327063
- Let P1>=3, P2, P3 be consecutive primes, with P3-P2=2. a(n)=(P2+P3)/12 when P2-P1 sets a record.at n=12A329158
- Let P1 >= 3, P2, P3 be consecutive primes, with P3 - P2 = 2. a(n) = (P2 + P3)/12 for the first occurrence of (P2 - P1)/2 = n.at n=29A329251
- 6*a(n) - 1 is the least prime p of a pair of twin primes p, p + 2, for which the prime gap immediately below p achieves the size 2*A007494(n).at n=19A337435
- Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new maximum.at n=38A372099