4897
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 143
- 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
- 4756
- Möbius Function
- 1
- Radical
- 4897
- 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
- 165
- 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
- Coordination sequence T1 for Zeolite Code DOH.at n=43A008078
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=9A020423
- Discriminants of quintic fields with 4 complex conjugates.at n=25A023685
- Numbers having period-4 6-digitized sequences.at n=21A031197
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=24A031802
- Numbers whose set of base-8 digits is {1,4}.at n=36A032820
- Number of partitions in parts not of the form 17k, 17k+3 or 17k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=33A035964
- Three-quadrant Ferrers graphs that partition n.at n=13A059776
- Pinwheel numbers: a(n) = 2*n^2 + 6*n + 1.at n=48A059993
- Sum of digits = 7 times number of digits.at n=49A061424
- a(n) = n^3 - n + 1.at n=17A061600
- Engel expansion of log(23).at n=10A067923
- Bisection (even part) of Chebyshev sequence with Diophantine property.at n=4A077245
- Combined Diophantine Chebyshev sequences A077245 and A077243.at n=8A077247
- The last number for which a determinant of base-n numbers is nonzero.at n=15A079505
- Third row of number array A082105.at n=34A082109
- Composite numbers k such that the continued fraction for k/m contains no 2 for any 1 <= m <= k.at n=13A082409
- Partial sums of A001652.at n=5A089950
- Consider numbers of the form ...7531975319753197, whose digits read from the right are 7,9,1,3,5,7,9,1,3,5,7,... Sequence gives lengths of these numbers that are primes.at n=14A090745
- Indices of primes in sequence defined by A(0) = 81, A(n) = 10*A(n-1) + 31 for n > 0.at n=12A101066