10649
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11136
- Proper Divisor Sum (Aliquot Sum)
- 487
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10164
- Möbius Function
- 1
- Radical
- 10649
- 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
- 55
- 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
- a(n) = n^3 + 1.at n=23A001093
- a(n+6) = -a(n+5) + a(n+4) + 3a(n+3) + a(n+2) - a(n+1) - a(n). a(n) = sign(n) if abs(n)<=3.at n=33A001945
- Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=39A005919
- exp(arcsin(x)-tanh(x))=1+3/3!*x^3-7/5!*x^5+90/6!*x^6+497/7!*x^7...at n=9A013421
- E.g.f.: arcsin(arcsin(x)-tanh(x)) (odd coefficients only).at n=4A013422
- Pseudoprimes to base 15.at n=21A020143
- Pseudoprimes to base 55.at n=37A020183
- Strong pseudoprimes to base 38.at n=15A020264
- Strong pseudoprimes to base 55.at n=8A020281
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=25A020425
- Decimal part of cube root of a(n) starts with 0: first term of runs (cubes excluded).at n=20A034126
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=29A045104
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049735.at n=29A049737
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=33A054999
- G.f.: (1 + Sum_{ i >= 0 } 2^i*x^(2^(i+1)-1)) / (1-x)^3.at n=42A063916
- a(n) = min( x : x^4 + n^4 = 0 mod (x+n-1) ).at n=8A066487
- Floor(X/Y) where X = concatenation of the (n+1)-st even number through the (2n)-th even number and Y = concatenation of first n even numbers.at n=11A067091
- Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=21A067374
- Sum of the reverses of the first n primes.at n=42A071602
- n! - n# - 1 is prime, where n# is the primorial function.at n=17A081713