2881
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2992
- Proper Divisor Sum (Aliquot Sum)
- 111
- 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
- 2772
- Möbius Function
- 1
- Radical
- 2881
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- Prime numbers of measurement.at n=49A002049
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=32A004210
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=20A005892
- Sum along upward diagonal of Pascal triangle up to (but not including) center.at n=18A010753
- Pseudoprimes to base 37.at n=44A020165
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=2A020425
- Convolution of Lucas numbers and (1, p(1), p(2), ...).at n=11A023617
- Index of 10^n within the sequence of the numbers of the form 2^i*10^j.at n=41A025740
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=3A031810
- a(n) = (2*n - 1)*(3*n + 1).at n=22A033569
- Number of partitions in parts not of the form 9k, 9k+1 or 9k-1. Also number of partitions with no part of size 1 and differences between parts at distance 3 are greater than 1.at n=40A035940
- Conjecturally, a power of 2 written in base 3 cannot have this many 0's.at n=24A036462
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(1,5) < cn(3,5) = cn(4,5).at n=71A036860
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5) <= cn(3,5).at n=57A036862
- Least k such that A033178(k)=n.at n=29A038004
- Path-counting triangular array T(i,j), read by rows, obtained from array t in A038792 by T(i,j) = t(2*i-j, j) (for i >= 1 and 1 <= j <= i).at n=50A038730
- T(n,n-4), array T as in A038730.at n=5A038733
- T(n,n-5), array T as in A038792.at n=13A038795
- Denominators of continued fraction convergents to sqrt(174).at n=4A041321
- Denominators of continued fraction convergents to sqrt(696).at n=8A042339