970
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1764
- Proper Divisor Sum (Aliquot Sum)
- 794
- 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
- 384
- Möbius Function
- -1
- Radical
- 970
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 98
- 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
- neunhundertsiebzig· ordinal: neunhundertsiebzigste
- English
- nine hundred seventy· ordinal: nine hundred seventieth
- Spanish
- novecientos setenta· ordinal: 970º
- French
- neuf cent soixante-dix· ordinal: neuf cent soixante-dixième
- Italian
- novecentosettanta· ordinal: 970º
- Latin
- nongenti septuaginta· ordinal: 970.
- Portuguese
- novecentos e setenta· ordinal: 970º
Appears in sequences
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=20A000566
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=28A001307
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=44A002644
- Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (0,1,1).at n=4A003287
- Expansion of (1 + x - x^5) / (1 - x)^3.at n=39A004120
- Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.at n=26A005282
- Number of n-step polygons on f.c.c. lattice.at n=3A005398
- a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7.at n=37A005710
- Number of points on surface of tetrahedron; coordination sequence for sodalite net (equals 2*n^2+2 for n > 0).at n=22A005893
- Extracting a square root.at n=1A006242
- Numbers whose sum of divisors is a square.at n=44A006532
- a(n) = Sum_{k=1..n-1} k XOR n-k.at n=37A006582
- Number of polygons of length 4n on Manhattan lattice.at n=5A006781
- Coordination sequence for body-centered tetragonal lattice.at n=11A008527
- 3x+1 sequence starting at 63.at n=9A008874
- 3x+1 sequence starting at 95.at n=7A008875
- "Pascal sweep" for k=6: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=51A009475
- Coordination sequence T7 for Zeolite Code CON.at n=22A009874
- Partition function coefficients for square lattice spin 3/2 Ising model.at n=28A010110
- Numbers k such that the continued fraction for sqrt(k) has period 9.at n=10A010339