706
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1062
- Proper Divisor Sum (Aliquot Sum)
- 356
- 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
- 352
- Möbius Function
- 1
- Radical
- 706
- 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
- 126
- Smith Number
- yes
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
- yes
- Odd
- no
Names
- German
- siebenhundertsechs· ordinal: siebenhundertsechsste
- English
- seven hundred six· ordinal: seven hundred sixth
- Spanish
- setecientos seis· ordinal: 706º
- French
- sept cent six· ordinal: sept cent sixième
- Italian
- settecentosei· ordinal: 706º
- Latin
- septingenti sex· ordinal: 706.
- Portuguese
- setecentos e seis· ordinal: 706º
Appears in sequences
- Number of partitions into non-integral powers.at n=7A000298
- A problem of configurations: a(0) = 1; for n>0, a(n) = (2n-1)!! - Sum_{k=1..n-1} (2k-1)!! a(n-k). Also the number of shellings of an n-cube, divided by 2^n n!.at n=5A000698
- Number of free nonplanar polyenoids with n nodes and symmetry point group C_{2v}.at n=9A000947
- Cluster series for bond percolation problem on hexagonal lattice.at n=4A003197
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=2A003294
- Numbers that are the sum of 2 positive 4th powers.at n=12A003336
- Sums of distinct nonzero 4th powers.at n=19A003999
- Number of partitions of 1/n into 3 reciprocals of positive integers.at n=47A004194
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=18A004831
- Numbers that are the sum of at most 3 nonzero 4th powers.at n=40A004832
- Sum of 4th powers of primes dividing n.at n=14A005065
- Sum of 4th powers of primes dividing n.at n=44A005065
- Sum of 4th powers of odd primes dividing n.at n=44A005068
- Sum of 4th powers of odd primes dividing n.at n=29A005068
- Sum of 4th powers of odd primes dividing n.at n=14A005068
- Number of integer partitions of n whose smallest part is equal to the number of parts.at n=55A006141
- Smith (or joke) numbers: composite numbers k such that sum of digits of k = sum of digits of prime factors of k (counted with multiplicity).at n=35A006753
- Number of triangles with integer sides and area = n times perimeter.at n=50A007237
- Coordination sequence T2 for Zeolite Code AFT.at n=20A008027
- Coordination sequence T1 for Zeolite Code MEL.at n=17A008150