17374
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31968
- Proper Divisor Sum (Aliquot Sum)
- 14594
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6912
- Möbius Function
- 1
- Radical
- 17374
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Decimal part of cube root of n starts with 9: first term of runs.at n=24A034135
- Number of partitions of n^2 into squares greater than 1.at n=19A092362
- Number of nondecreasing integer sequences of length 7 with sum zero and sum of absolute values 2n.at n=22A158141
- a(n) is the smallest number whose English name has the letter "f" in the n-th position, or -1 if no such number exists.at n=36A164794
- a(n) is the smallest number whose English name has the letter "r" in the n-th position, or -1 if no such number exists.at n=39A164796
- a(n) is the smallest number whose English name has the letter "u" in the n-th position, or -1 if no such number exists.at n=38A164797
- Number of (n+2) X 4 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.at n=19A202441
- G.f.: 1/((1-t^9)^2*(1-t)*(1-t^3)*(1-t^5)*(1-t^7)*(1-t^11)*(1-t^13)*(1-t^15)*(1-t^17)).at n=66A266749
- Partial sums of A299257.at n=28A299263