4025
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5952
- Proper Divisor Sum (Aliquot Sum)
- 1927
- 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
- 2640
- Möbius Function
- 0
- Radical
- 805
- 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
- 69
- 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
- no
- Odd
- yes
Appears in sequences
- Generalized Stirling numbers, [n+3,n]_2.at n=5A001702
- Generalized Stirling numbers, [n+6,6]_2.at n=3A001708
- Degrees of irreducible representations of Conway group Co3.at n=11A003910
- Degrees of irreducible representations of Conway group Co2.at n=7A003911
- a(n) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6.at n=40A005709
- Expansion of 1/(1 - x^7 - x^8 - ...).at n=47A017901
- Poincaré series [or Poincare series] for depths of roots in a certain root system.at n=21A019527
- Numbers k such that 69*2^k+1 is prime.at n=17A032384
- Total number of prime parts in all partitions of n.at n=22A037032
- Triangle read by rows: matrix 5th power of the Stirling-1 triangle A008275.at n=25A039817
- Coordination sequence T4 for Zeolite Code ISV.at n=44A047961
- Increasing sequence with no repeating digits and no digits shared with previous term.at n=26A054659
- Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).at n=15A056068
- Numbers k such that k^18 == 1 (mod 19^3).at n=9A056089
- a(n) = 7*n^2 + 14*n.at n=22A067727
- Composite numbers k with no prime factor among (2, 3) (cf. A038509) and such that phi(k) < 2*k/3.at n=13A069043
- Indices of spheres mentioned in A071609.at n=39A076180
- a(n) = n*(n+2)*(n-2)/3.at n=21A077415
- Triangle of numbers related to triangle A092083; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297, ...at n=18A092082
- Values of r such that N(r)/r^2 > Pi, where N(r) is the number of integer lattice points (x,y) inside or on a circle of radius r.at n=30A093832