416
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 882
- Proper Divisor Sum (Aliquot Sum)
- 466
- 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
- 192
- Möbius Function
- 0
- Radical
- 26
- Omega Function (Ω)
- 6
- 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
- 14
- 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
- vierhundertsechzehn· ordinal: vierhundertsechzehnste
- English
- four hundred sixteen· ordinal: four hundred sixteenth
- Spanish
- cuatrocientos dieciséis· ordinal: 416º
- French
- quatre cent seize· ordinal: quatre cent seizième
- Italian
- quattrocentosedici· ordinal: 416º
- Latin
- quadringenti sedecim· ordinal: 416.
- Portuguese
- quatrocentos e dezesseis· ordinal: 416º
Appears in sequences
- Expansion of 2*x^3/((1-2*x)^2*(1-4*x)).at n=6A000431
- Expansion of e.g.f. 1/(1 - 2*sinh(x)).at n=4A000557
- Number of partitions of n, with three kinds of 1,2,3 and 4 and two kinds of 5,6,7,...at n=7A000711
- Numbers beginning with letter 'f' in English.at n=40A000867
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 50, 100 cents.at n=54A001312
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=49A001313
- Number of integral points in a certain sequence of open quadrilaterals.at n=32A002578
- Coefficients for numerical integration.at n=3A002686
- Low temperature series for spin-1/2 Ising antiferromagnetic susceptibility for 3-dimensional simple cubic lattice.at n=8A002915
- Low temperature series for spin-1/2 Ising magnetic susceptibility on 2D square lattice.at n=5A002927
- a(n) = floor( 2^(n*(n-1)/2) / n! ).at n=6A003091
- Numbers that are the sum of 11 positive 4th powers.at n=51A003345
- Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).at n=24A003635
- Degrees of irreducible representations of group L4(3).at n=16A003900
- Degrees of irreducible representations of group L4(3).at n=17A003900
- Degrees of irreducible representations of group L4(3).at n=15A003900
- Degrees of irreducible representations of group L4(3).at n=18A003900
- a(0) = 1, a(n) = sum of digits of all previous terms.at n=44A004207
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=14A004210
- a(n) = floor(100*log_2(n)).at n=17A004262