156
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 392
- Proper Divisor Sum (Aliquot Sum)
- 236
- 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
- 48
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 4
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- einshundertsechsundfünfzig· ordinal: einshundertsechsundfünfzigste
- English
- one hundred fifty-six· ordinal: one hundred fifty-sixth
- Spanish
- ciento cincuenta y seis· ordinal: 156º
- French
- cent cinquante-six· ordinal: cent cinquante-sixième
- Italian
- centocinquantasei· ordinal: 156º
- Latin
- centum quinquaginta sex· ordinal: 156.
- Portuguese
- cento e cinquenta e seis· ordinal: 156º
Appears in sequences
- Numbers k such that (2k)^4 + 1 is prime.at n=43A000059
- Generalized tangent numbers d(n,1).at n=50A000061
- Number of simple graphs on n unlabeled nodes.at n=6A000088
- a(n) = floor(n^(3/2)).at n=29A000093
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=49A000134
- A Beatty sequence: [ n(e+1) ].at n=41A000572
- Number of non-stereoisomeric paraffins with n carbon atoms.at n=12A000627
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=16A000702
- No-3-in-line problem: number of inequivalent ways of placing 2n points on an n X n grid so that no 3 are in a line.at n=9A000769
- Total number of 1's in binary expansions of 0, ..., n.at n=55A000788
- Expansion of e.g.f. (1/2)*(exp(2*x + x^2) + 1).at n=5A000902
- a(n) = a(n-1) + n*a(n-2); a(0) = a(1) = 1.at n=6A000932
- Numbers that are divisible by at least three different primes.at n=20A000977
- Dimensions (sorted, with duplicates removed) of real simple Lie algebras.at n=40A001066
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=13A001101
- Triangle read by rows, in which row n consists of n(n+m) for m = 1 .. n-1.at n=55A001283
- Numbers of form m*k with m+1 <= k <= 2m-1.at n=43A001284
- Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939).at n=35A001364
- Number of ways of making change for n cents using coins of 1, 2, 4, 12, 24, 48, 96, 120 cents (based on English coinage of 1939).at n=34A001364
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=17A001365