4998
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
- 24
- Divisor Sum
- 12312
- Proper Divisor Sum (Aliquot Sum)
- 7314
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1344
- Möbius Function
- 0
- Radical
- 714
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 178
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that k! - (k-1)! + (k-2)! - (k-3)! + ... - (-1)^k*1! is prime.at n=19A001272
- Cluster series for bond percolation problem on cubic lattice.at n=5A003207
- Coordination sequence T2 for Zeolite Code CAS.at n=43A008064
- Coordination sequence for Cr3Si, Si position.at n=18A009927
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=51A011907
- Numbers k that divide s(k), where s(1)=1, s(j)=18*s(j-1)+j.at n=47A014868
- Number of compositions of n into 7 ordered relatively prime parts.at n=9A023032
- Number of 6's in all partitions of n.at n=33A024790
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=27A026067
- Denominators of continued fraction convergents to sqrt(156).at n=5A041287
- Triangular array read by rows: a(n,k) = Sum_{d|k} mu(d)*U(n,k/d) if k|n else 0, where U(n,k) = A047916(n,k) (1<=k<=n).at n=27A047918
- a(n) = n*(n+1)*(n^2+5*n+18)/24.at n=16A051744
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 87 ).at n=24A063360
- The concatenation of n with n-1 and n with n+1 both yield primes (twin primes).at n=42A068700
- Smallest even number with digit sum n.at n=29A069532
- a(n) = smallest multiple of 7 with a digit sum = n.at n=28A077493
- Number of numbers with 5 decimal digits and sum of digits = n.at n=19A090580
- Number of numbers with 5 decimal digits and sum of digits = n.at n=25A090580
- Numbers k such that 4*k-1, 8*k-1 and 16*k-1 are all primes.at n=30A101790
- a(n) = (n+1)*(n+2)^3*(n+3)^2*(n+4)*(3n+5)/1440.at n=4A107968