356
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 630
- Proper Divisor Sum (Aliquot Sum)
- 274
- 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
- 176
- Möbius Function
- 0
- Radical
- 178
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- dreihundertsechsundfünfzig· ordinal: dreihundertsechsundfünfzigste
- English
- three hundred fifty-six· ordinal: three hundred fifty-sixth
- Spanish
- trescientos cincuenta y seis· ordinal: 356º
- French
- trois cent cinquante-six· ordinal: trois cent cinquante-sixième
- Italian
- trecentocinquantasei· ordinal: 356º
- Latin
- trecenti quinquaginta sex· ordinal: 356.
- Portuguese
- trezentos e cinquenta e seis· ordinal: 356º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=51A000008
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=17A000511
- Smallest number that takes n steps to reach 1 under iteration of sum-of-squares-of-digits map (= smallest "happy number" of height n).at n=6A001273
- Primes multiplied by 4.at n=23A001749
- Numbers k such that 17*2^k - 1 is prime.at n=12A001774
- Numbers k such that phi(k+2) = phi(k) + 2.at n=34A001838
- 2nd differences are periodic.at n=14A002082
- Numbers k for which the rank of the elliptic curve y^2 = x^3 - k is 2.at n=46A002154
- a(n) = Sum_{d|n, d <= 3} d^2 + 3*Sum_{d|n, d>3} d.at n=55A002660
- a(n) = Sum_{d|n, d <= 3} d^2 + 3*Sum_{d|n, d>3} d.at n=53A002660
- a(0) = 1; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).at n=40A002984
- Length of shortest (or optimal) Golomb ruler with n marks.at n=20A003022
- Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m).at n=38A003052
- Numbers that are the sum of 6 positive 4th powers.at n=27A003340
- Numbers that are the sum of 11 positive 4th powers.at n=42A003345
- a(n) = 100*log(n) rounded to nearest integer.at n=34A004238
- a(n) = ceiling(100*log(n)).at n=34A004239
- a(n) = n*(5*n^2 - 2)/3.at n=6A004466
- Numbers of Twopins positions.at n=14A005688
- Tumbling distance for n-input mappings with 2 steps.at n=4A005947