830
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1512
- Proper Divisor Sum (Aliquot Sum)
- 682
- 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
- 328
- Möbius Function
- -1
- Radical
- 830
- 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
- 134
- Smith 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
- yes
- Odd
- no
Names
- German
- achthundertdreißig· ordinal: achthundertdreißigste
- English
- eight hundred thirty· ordinal: eight hundred thirtieth
- Spanish
- ochocientos treinta· ordinal: 830º
- French
- huit cent trente· ordinal: huit cent trentième
- Italian
- ottocentotrenta· ordinal: 830º
- Latin
- octingenti triginta· ordinal: 830.
- Portuguese
- oitocentos e trinta· ordinal: 830º
Appears in sequences
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=38A001682
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=52A002088
- Numbers that are the sum of 11 positive 5th powers.at n=36A003356
- From a nim-like game.at n=23A003412
- Record values in A005210.at n=33A005211
- Numbers k such that k^16 + 1 is prime.at n=38A006313
- Number of sensed planar maps with n edges and without faces of degree 1 or 2.at n=7A006392
- Coordination sequence T3 for Zeolite Code AFO.at n=19A008017
- Expansion of g.f.: 1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^6)*(1-x^9)).at n=63A008666
- Coordination sequence T3 for Zeolite Code DFO.at n=22A009877
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=6A010013
- a(n) = floor(n*(n-1)*(n-2)/7).at n=19A011889
- Expansion of e.g.f. sinh(arcsin(x) * exp(x)).at n=6A012321
- Divisors of 830.at n=7A018670
- Fibonacci sequence beginning 5, 12.at n=10A022137
- Index of 2^n within sequence of numbers of form 2^i*3^j (A003586).at n=50A022331
- Numbers k such that Fibonacci(k) == -55 (mod k).at n=24A023170
- Numbers with exactly 3 3's in base 4 expansion.at n=44A023720
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023533, t = A000040.at n=53A024694
- Number of down/up (initially descending) compositions of n.at n=17A025049