616
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1440
- Proper Divisor Sum (Aliquot Sum)
- 824
- 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
- 154
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 25
- 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
- sechshundertsechzehn· ordinal: sechshundertsechzehnste
- English
- six hundred sixteen· ordinal: six hundred sixteenth
- Spanish
- seiscientos dieciséis· ordinal: 616º
- French
- six cent seize· ordinal: six cent seizième
- Italian
- seicentosedici· ordinal: 616º
- Latin
- sescenti sedecim· ordinal: 616.
- Portuguese
- seiscentos e dezesseis· ordinal: 616º
Appears in sequences
- a(n) = floor(n^2/3).at n=43A000212
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=16A000566
- Ramanujan's approximation to population of x^2 + y^2 <= 2^n.at n=11A000691
- Numbers beginning with letter 's' in English.at n=40A000870
- Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0.at n=29A000931
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=28A001082
- Number of permutations of length n with 5 consecutive ascending pairs.at n=8A001261
- Triangle in which k-th number (0<=k<=n) in n-th row (0<=n) is number of dodecads in Golay code G_24 containing k given points and missing n-k given points.at n=3A001294
- Triangle in which k-th number (0<=k<=n) in n-th row (0<=n) is number of dodecads in Golay code G_24 containing k given points and missing n-k given points.at n=5A001294
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=28A001859
- Number of compositions of n into a sum of odd primes.at n=31A002124
- Least k such that H(k) > n, where H(k) is the harmonic number Sum_{i=1..k} 1/i.at n=7A002387
- Number of ménage permutations.at n=5A002484
- Numbers that are the sum of 8 positive 5th powers.at n=21A003353
- Degrees of irreducible representations of alternating group A_12.at n=13A003867
- Degrees of irreducible representations of symmetric group S_12.at n=27A003876
- Degrees of irreducible representations of symmetric group S_12.at n=26A003876
- Least k such that H(k) >= n, where H(k) is the harmonic number Sum_{i=1..k} 1/i.at n=7A004080
- Number of partitions of n into 3 or more parts.at n=19A004250
- Numbers k such that if 2 <= j < k then the fractional part of the k-th partial sum of the harmonic series is < the fractional part of the j-th partial sum of the harmonic series.at n=3A004796