1887
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
- 8
- Divisor Sum
- 2736
- Proper Divisor Sum (Aliquot Sum)
- 849
- 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
- 1152
- Möbius Function
- -1
- Radical
- 1887
- Omega Function (Ω)
- 3
- 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
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- The coding-theoretic function A(n,4,4).at n=33A001843
- Smallest number requiring n chisel strokes for its representation in Roman numerals.at n=24A002964
- Number of partitions of n into partition numbers.at n=39A007279
- Coordination sequence T2 for Zeolite Code MOR.at n=28A008183
- Coordination sequence T1 for Zeolite Code MTW.at n=28A008196
- Expansion of (1+x^10)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=51A008771
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly three 1's.at n=26A013650
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=50A017876
- a(n) = n*(13*n + 1)/2.at n=17A022271
- a(n) = [ a(n-1)/a(1) + a(n-3)/a(3) + a(n-5)/a(5) + ... ], for n >= 3.at n=20A022859
- Positive numbers k such that k and 4*k are anagrams in base 9 (written in base 9).at n=10A023081
- Numbers with exactly 9 ones in binary expansion.at n=28A023691
- a(n) = floor( (2nd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ), where S(n) = {first n+1 positive integers congruent to 1 mod 3}.at n=49A024219
- Number of 3's in all partitions of n.at n=24A024787
- Coordination sequence T4 for Zeolite Code CGS.at n=32A027368
- Iterate the map in A006369 starting at 8.at n=43A028394
- Numbers k such that 165*2^k+1 is prime.at n=35A032459
- Numbers whose set of base-12 digits is {1,3}.at n=15A032919
- Concatenations C1 and C2 are both prime (see the comment lines).at n=34A034816
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+3 or 20k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=40A036025