1761
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2352
- Proper Divisor Sum (Aliquot Sum)
- 591
- 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
- 1172
- Möbius Function
- 1
- Radical
- 1761
- 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
- 104
- 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
- Number of certain rooted planar maps.at n=5A000259
- Numbers k such that k, k+1 and k+2 have the same number of divisors.at n=30A005238
- Number of strict 7th-order maximal independent sets in path graph.at n=49A007386
- Coordination sequence T1 for Zeolite Code LEV.at n=31A008127
- Molien series for A_10.at n=26A008633
- Number of partitions of n into at most 10 parts.at n=26A008639
- Expansion of (1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=49A008769
- Expansion of e.g.f.: exp(tanh(x)+arcsin(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+17/5!*x^5...at n=7A013131
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 10.at n=12A022324
- Numbers k such that Fibonacci(k) == -2 (mod k).at n=28A023163
- Convolution of A023532 and odd numbers.at n=46A023601
- Convolution of A023532 and A001950.at n=40A023603
- [ (3rd elementary symmetric function of S(n))/(2nd elementary symmetric function of S(n)) ], where S(n) = {first n+2 positive integers congruent to 1 mod 4}.at n=49A024388
- Sum{T(i,j)}, 0<=i<=n, 0<=j<=n, T given by A026670.at n=9A026679
- Number of partitions of n in which the greatest part is 10.at n=36A026816
- a(n) = n^4 - 6*n^3 + 12*n^2 - 4*n + 1.at n=8A027382
- Sequence satisfies T^2(a)=a, where T is defined below.at n=43A027587
- a(n) = n^2 - 3.at n=40A028872
- [ exp(17/19)*n! ].at n=5A030861
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 26.at n=21A031524