1877
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1878
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 1876
- Möbius Function
- -1
- Radical
- 1877
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 24
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 288
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of primes < prime(n)^2.at n=30A000879
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=27A001994
- Numbers n such that 54*10^n + 1 is prime.at n=8A004203
- Class 4- primes (for definition see A005109).at n=43A005112
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=25A005918
- Oscillates under partition transform.at n=35A007210
- Coordination sequence T1 for Zeolite Code LTN.at n=30A008140
- G.f.: (1+x)*(1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)*(1-x^10)).at n=45A014670
- Five iterations of Reverse and Add are needed to reach a palindrome.at n=44A015982
- Coordination sequence T2 for Zeolite Code TER.at n=29A016434
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=35A017845
- Coordination sequence T3 for Zeolite Code CZP.at n=28A019458
- Numbers k such that the continued fraction for sqrt(k) has period 15.at n=12A020354
- Fibonacci sequence beginning 5, 18.at n=11A022142
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=26A023244
- Numbers with exactly 3 0's in their base 5 expansion.at n=37A023724
- a(n) = [ n/{n/e} ], {x} := x - [ x ].at n=48A024577
- a(n) = position of 5 + n^2 in A004432.at n=46A024808
- Smallest prime in Goldbach partition of A025018(n).at n=35A025019
- Primes of the form k^2 + (k+1)^2 + (k+2)^2 = 3*(k+1)^2+2.at n=5A027864