2517
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3360
- Proper Divisor Sum (Aliquot Sum)
- 843
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1676
- Möbius Function
- 1
- Radical
- 2517
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 40
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes.at n=16A000127
- Place n equally-spaced points around a circle and join every pair of points by a chord; this divides the circle into a(n) regions.at n=16A006533
- Coordination sequence T1 for Zeolite Code AFO.at n=33A008015
- Coordination sequence T1 for Zeolite Code FER.at n=31A008106
- Coordination sequence T1 for Zeolite Code NES.at n=32A008205
- Coordination sequence T6 for Zeolite Code NES.at n=32A008210
- Crystal ball sequence for planar net 3.6.3.6.at n=33A008580
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=15A020387
- Number of terms in 6th derivative of a function composed with itself n times.at n=8A022816
- Numbers k such that Fibonacci(k) == 2 (mod k).at n=40A023174
- Number of terms in n-th derivative of a function composed with itself 9 times.at n=6A024209
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 32.at n=20A031530
- Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p*q where p and q are distinct primes.at n=31A039833
- Denominators of continued fraction convergents to sqrt(389).at n=9A041739
- Numbers n such that string 0,6 occurs in the base 9 representation of n but not of n-1.at n=33A044257
- Numbers n such that string 1,7 occurs in the base 10 representation of n but not of n-1.at n=28A044349
- Numbers n such that string 0,6 occurs in the base 9 representation of n but not of n+1.at n=33A044638
- Numbers n such that string 1,7 occurs in the base 10 representation of n but not of n+1.at n=28A044730
- Catafusenes (see reference for precise definition).at n=9A045905
- Parker's partition triangle T(n,k) read by rows (n >= 1 and 0 <= k <= n-1).at n=48A047812