4959
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7800
- Proper Divisor Sum (Aliquot Sum)
- 2841
- 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
- 3024
- Möbius Function
- 0
- Radical
- 1653
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- Smith Number
- yes
- 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
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=38A001106
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=19A004112
- Coordination sequence T1 for Zeolite Code JBW.at n=47A008121
- Coordination sequence T2 for Zeolite Code NES.at n=45A008206
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=30A024814
- Odd 9-gonal (or enneagonal) numbers.at n=19A028991
- a(n) = (n-1)*(2*n-1)*(3*n-1).at n=10A033594
- Expansion of (3 + x^2) / (1 - x)^4.at n=18A037237
- Numerators of continued fraction convergents to sqrt(532).at n=4A042016
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=26A042945
- Numbers whose base-4 representation contains exactly three 1's and three 3's.at n=24A045127
- Numbers k where cos(k) decreases monotonically to 0.at n=10A046957
- Numbers k where sin(k) increases monotonically to 1 (or cosec(k) decreases).at n=14A046959
- Parker's partition triangle T(n,k) read by rows (n >= 1 and 0 <= k <= n-1).at n=49A047812
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n+1)/3.at n=28A048048
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n+2)/3.at n=28A048081
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n+3)/3.at n=28A048092
- a(n) = Xpower(n,3).at n=19A048732
- a(n) = -Product_{k=0..n} (10*k - 1); deca-factorial numbers.at n=3A049212
- Smaller of Smith brothers.at n=3A050219