700
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 1736
- Proper Divisor Sum (Aliquot Sum)
- 1036
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 240
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 82
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- siebenhundert· ordinal: siebenhundertste
- English
- seven hundred· ordinal: seven hundredth
- Spanish
- setecientos· ordinal: 700º
- French
- sept cents· ordinal: sept centsième
- Italian
- settecento· ordinal: 700º
- Latin
- septingenti· ordinal: 700.
- Portuguese
- setecentos· ordinal: 700º
Appears in sequences
- Number of compositions of n into 5 ordered relatively prime parts.at n=9A000743
- Number of twin prime pairs < square of n-th prime.at n=47A000885
- a(n) = (2*n)!*(2*n+1)! /((n+1)! *n!^3).at n=3A000894
- Numbers k such that k / (sum of digits of k) is a square.at n=32A001102
- a(n) is the solution to the postage stamp problem with n denominations and 4 stamps.at n=11A001214
- Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice.at n=5A001386
- Number of n-bead necklaces with 4 colors.at n=6A001868
- Number of permutations according to distance.at n=9A002525
- Number of achiral rooted trees.at n=14A003241
- Number of key permutations of length n: permutations {a_i} with |a_i - a_{i-1}| = 1 or 2.at n=13A003274
- a(n) = round(n*phi^6), where phi is the golden ratio, A001622.at n=39A004941
- a(n) = ceiling(n*phi^6), where phi is the golden ratio.at n=39A004961
- Number of walks of length n on square lattice, starting at origin, staying in first quadrant.at n=6A005566
- Number of walks on cubic lattice.at n=2A005571
- Molien series for a certain group of order 52.at n=58A005916
- Number of certain self-avoiding walks with n steps on square lattice (see reference for precise definition).at n=13A006144
- Number of ways to color vertices of a hexagon using <= n colors, allowing only rotations.at n=4A006565
- Number of achiral polyominoes with n cubical cells of the regular tiling with Schläfli symbol {4,3,4} (or polycubes).at n=7A007743
- Coordination sequence T2 for Zeolite Code AEI.at n=20A008002
- Coordination sequence T3 for Zeolite Code AEI.at n=20A008003