17260
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 36288
- Proper Divisor Sum (Aliquot Sum)
- 19028
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6896
- Möbius Function
- 0
- Radical
- 8630
- 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
- 128
- 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
- yes
- Odd
- no
Appears in sequences
- Positive numbers k such that k and 4*k are anagrams in base 9 (written in base 9).at n=24A023081
- Numbers which are the sum of their proper divisors containing the digit 3.at n=3A059462
- Number of partitions of n such that the least part occurs exactly three times.at n=47A097091
- Ulam's spiral (ENE spoke).at n=33A143856
- Number of n X n 0..3 arrays with every element equal to either the sum mod 4 of its vertical neighbors or the sum mod 4 of its horizontal neighbors.at n=3A183484
- Number of nX4 0..3 arrays with every element equal to either the sum mod 4 of its vertical neighbors or the sum mod 4 of its horizontal neighbors.at n=3A183487
- T(n,k)=Number of nXk 0..3 arrays with every element equal to either the sum mod 4 of its vertical neighbors or the sum mod 4 of its horizontal neighbors.at n=24A183492
- L.g.f.: Sum_{n>=1} (x^n/n) / Product_{d|n} (1 - d*x^d)^n.at n=10A205491
- Number of tilings of an 8 X n rectangle using integer-sided square tiles of area > 1.at n=18A226372
- Number of partitions of n such that m(greatest part) <= m(1), where m = multiplicity.at n=37A240077
- Number of 4 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=15A281472
- a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = -1, a(1) = 0, a(2) = 1, a(3) = 1.at n=19A295729
- a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = 0, a(1) = 0, a(2) = 3, a(3) = 1.at n=19A295856
- Least positive integer whose square root starts with at least n odd decimal digits.at n=15A333827
- Least positive integer whose square root starts with at least n odd decimal digits.at n=16A333827
- Least positive integer whose square root starts with just n odd decimal digits.at n=16A334161
- Number of subsets of {1..n} whose cardinality is equal to the root-mean-square of the elements.at n=25A339569