17259
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 25152
- Proper Divisor Sum (Aliquot Sum)
- 7893
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10440
- Möbius Function
- -1
- Radical
- 17259
- Omega Function (Ω)
- 3
- 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
- 27
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor( Sum_{1 <= i < j <= n} ((sqrt(j)-sqrt(i))^3) ).at n=44A025197
- Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's.at n=36A049355
- McKay-Thompson series of class 20D for Monster.at n=50A058553
- Triangle formed when cumulative boustrophedon transform is applied to 1, 0, 0, 0, ..., read by rows from left to right.at n=30A059431
- Triangle formed when cumulative boustrophedon transform is applied to 1, 0, 0, 0, ..., read by rows in natural order.at n=30A059432
- Sums of terms of groups in A075626.at n=32A075629
- Central term in powers of the Lo-Shu Magic Square as a matrix.at n=4A091281
- Number of fib010 primes (A095087) in range [2^n,2^(n+1)].at n=19A095067
- Numbers n such that a(n) is prime, where a(n) = a(n-1) + a(n-2), a(1) = 3794765361567513, a(2) = 20615674205555510.at n=11A108156
- Number of partitions of n such that the least part occurs at least twice.at n=36A117989
- Number of base 9 circular n-digit numbers with adjacent digits differing by 4 or less.at n=5A125346
- Numbers k such that k^6 - 2 and k^6 + 2 are both primes.at n=27A154938
- Partial sums of A079062.at n=35A177455
- Number of prime quadruples with smallest member < 2^n.at n=28A215473
- Number of nX7 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX7 array.at n=4A219772
- T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array.at n=59A219773
- Number of 5Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 5Xn array.at n=6A219776
- Least positive integer k such that 1 + 1/2 + ... + 1/k > n/3.at n=30A226187
- Number of partitions of n such that m(greatest part) < m(1), where m = multiplicity.at n=38A240076
- Number of terms of A182116 between 2^n and 2^(n+1).at n=58A242435