396
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 1092
- Proper Divisor Sum (Aliquot Sum)
- 696
- 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
- 120
- Möbius Function
- 0
- Radical
- 66
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 27
- 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
- dreihundertsechsundneunzig· ordinal: dreihundertsechsundneunzigste
- English
- three hundred ninety-six· ordinal: three hundred ninety-sixth
- Spanish
- trescientos noventa y seis· ordinal: 396º
- French
- trois cent quatre-vingt-seize· ordinal: trois cent quatre-vingt-seizième
- Italian
- trecentonovantasei· ordinal: 396º
- Latin
- trecenti nonaginta sex· ordinal: 396.
- Portuguese
- trezentos e noventa e seis· ordinal: 396º
Appears in sequences
- a(n) = floor(n^(3/2)).at n=54A000093
- Generalized class numbers c_(n,1).at n=13A000233
- Number of nonisomorphic 1-factorizations of complete graph K_{2n}.at n=4A000474
- Numbers that are the sum of 2 successive primes.at n=44A001043
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=11A001106
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=47A001463
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=36A002088
- Erroneous version of A173380.at n=6A002932
- Number of certain self-avoiding walks with n steps on square lattice (see reference for precise definition).at n=11A002976
- Number of labeled Greg trees.at n=5A005263
- Representation degeneracies for boson strings.at n=26A005290
- Number of unrooted triangulations of a pentagon with n internal nodes.at n=4A005501
- Numbers k such that k^2 + 1 is prime.at n=56A005574
- Alkane (or paraffin) numbers l(8,n).at n=7A005995
- Number of entries in first n rows of Pascal's triangle not divisible by 3.at n=43A006048
- Numbers k such that k^16 + 1 is prime.at n=19A006313
- Number of unsensed 2-connected planar maps with n edges.at n=8A006403
- Generalized Lucas numbers.at n=8A006492
- Number of order-consecutive partitions of n.at n=5A007052
- a(n) = a(n-1) + (3+(-1)^n)*a(n-2)/2.at n=9A007068