2949
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3936
- Proper Divisor Sum (Aliquot Sum)
- 987
- 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
- 1964
- Möbius Function
- 1
- Radical
- 2949
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 141
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=3A020411
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=23A024842
- Coordination sequence T3 for Zeolite Code MWW.at n=36A024988
- 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 36.at n=12A031534
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 24 ones.at n=25A031792
- Coordination sequence T1 for Zeolite Code STF.at n=36A038443
- Indices of primes at which the prime race 4k-1 vs. 4k+1 is tied.at n=8A038691
- Numbers n such that string 4,9 occurs in the base 10 representation of n but not of n-1.at n=32A044381
- Numbers n such that string 4,9 occurs in the base 10 representation of n but not of n+1.at n=32A044762
- Numbers k such that string 9,4 occurs in the base 10 representation of k but not of k+1.at n=31A044807
- Numbers having, in base 14, (sum of even run lengths)=(sum of odd run lengths).at n=34A044885
- Numbers whose base-5 representation contains exactly one 3 and three 4's.at n=35A045299
- a(n) = 2*a(n-1) + n^2, a(0) = 0.at n=9A047520
- Coordination sequence T1 for Zeolite Code AEN.at n=34A047950
- Starting positions of strings of 2 9's in the decimal expansion of Pi.at n=31A050272
- Expansion of series related to Liouville's Last Theorem: g.f. sum_{t>0} (-1)^(t+1) *x^(t*(t+1)/2) / ( (1-x^t)^8 *product_{i=1..t} (1-x^i) ).at n=7A059825
- Smallest "inconsummate number" in base n greater than in the previous base.at n=42A061381
- Composites for which the row of the prime-composite array (A063173) includes the leftmost element of both a zero-only antidiagonal and a zero-only diagonal(A067681).at n=23A063176
- Number of levels in lattice formed by normal play partisan games born on day n.at n=4A065407
- Starting positions of strings of three 9's in the decimal expansion of Pi.at n=4A083642