154
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 288
- Proper Divisor Sum (Aliquot Sum)
- 134
- 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
- 60
- Möbius Function
- -1
- Radical
- 154
- Omega Function (Ω)
- 3
- 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
- 23
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- einshundertvierundfünfzig· ordinal: einshundertvierundfünfzigste
- English
- one hundred fifty-four· ordinal: one hundred fifty-fourth
- Spanish
- ciento cincuenta y cuatro· ordinal: 154º
- French
- cent cinquante-quatre· ordinal: cent cinquante-quatrième
- Italian
- centocinquantaquattro· ordinal: 154º
- Latin
- centum quinquaginta quattuor· ordinal: 154.
- Portuguese
- cento e cinquenta e quatro· ordinal: 154º
Appears in sequences
- Numbers k such that k^4 + 1 is prime.at n=23A000068
- Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.at n=17A000124
- Number of 4-level labeled rooted trees with n leaves.at n=4A000307
- 1 together with products of 2 or more distinct primes.at n=57A000469
- Number of permutations of an n-sequence discordant with three given permutations (see reference) in n-6 places.at n=1A000492
- a(n) = 7*binomial(2n,n-3)/(n+4).at n=6A000588
- Invertible Boolean functions of n variables.at n=2A000725
- Number of compositions of n into 4 ordered relatively prime parts.at n=8A000742
- Dimension of the n-th graded piece of the mod-2 Steenrod algebra A_2.at n=51A000929
- n! never ends in this many 0's.at n=29A000966
- Numbers that are divisible by at least three different primes.at n=19A000977
- Number of dissections of a convex (n+2)-gon into triangles and quadrilaterals by nonintersecting diagonals.at n=5A001002
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=7A001106
- Trajectory of 1 under map x->x + (x-with-digits-reversed).at n=6A001127
- Number of partitions of n into squares.at n=57A001156
- a(n) is the solution to the postage stamp problem with n denominations and 3 stamps.at n=9A001213
- Triangle read by rows, in which row n consists of n(n+m) for m = 1 .. n-1.at n=47A001283
- Numbers of form m*k with m+1 <= k <= 2m-1.at n=42A001284
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=15A001307
- a(n) is the number of partitions of n into at most 3 parts; also partitions of n+3 in which the greatest part is 3; also number of unlabeled multigraphs with 3 nodes and n edges.at n=40A001399