9849
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15504
- Proper Divisor Sum (Aliquot Sum)
- 5655
- 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
- 5544
- Möbius Function
- 0
- Radical
- 1407
- 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
- 73
- 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
- Centered tetrahedral numbers.at n=24A005894
- Expansion of (1-x^8)*(1+x^5)/(1-x^2)^5.at n=48A027635
- Expansion of (1-x^8)*(1+x^5)/(1-x^2)^5.at n=53A027635
- Least Smith number having digital sum A033662(n).at n=17A033663
- Numbers having four 3's in base 6.at n=26A043384
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=30A045306
- a(n) = Sum_{d|n} d*prime(d).at n=44A061150
- C(2*n+4,4)-C(2*n,4).at n=12A085474
- Position of n! among the lexicographically ordered permutations of digits of n!.at n=12A116983
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k UUU's (triplerises) (n >= 0; 0 <= k <= n-2 for n >= 2).at n=33A128719
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k LL's (n >= 0; 0 <= k <= n-2 for n >= 2).at n=31A128724
- Triangle of trinomial logarithmic coefficients: A027907(n,k) = Sum_{i=0..k} T(k,i)*n^i/k!.at n=50A136590
- a(0) = 0, a(1) = 1; for n > 1, a(n) = a(n-2) + a(n-1) + A000071(n+1).at n=15A140992
- List of different composite numbers in Pascal-like triangles with index of asymmetry y = 1 and index of obliqueness z = 0 or z = 1.at n=45A141065
- Numbers k that 4^k + 13^2 is prime.at n=30A178653
- Numbers n such that (n^6 + 1091)/4 is prime.at n=6A181112
- Number of 5X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 5 zero-sum 2-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=19A192705
- Triangle read by rows: numerators of degenerate Bernoulli numbers written as powers of lambda.at n=50A209123
- Number of (w,x,y) with all terms in {0,...,n} and w <= x + y and x < y.at n=28A212981
- Integers that are Rhonda numbers to base 30.at n=11A255736