207
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 312
- Proper Divisor Sum (Aliquot Sum)
- 105
- 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
- 132
- Möbius Function
- 0
- Radical
- 69
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 88
- 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
- no
- Odd
- yes
Names
- German
- zweihundertsieben· ordinal: zweihundertsiebenste
- English
- two hundred seven· ordinal: two hundred seventh
- Spanish
- doscientos siete· ordinal: 207º
- French
- deux cent sept· ordinal: deux cent septième
- Italian
- duecentosette· ordinal: 207º
- Latin
- ducenti septem· ordinal: 207.
- Portuguese
- duzentos e sete· ordinal: 207º
Appears in sequences
- Local stops on New York City 1 Train (Broadway-7 Avenue Local) subway.at n=23A000053
- Local stops on New York City A line subway.at n=24A000054
- Numbers k such that (2k)^4 + 1 is prime.at n=51A000059
- a(n) = floor(n^(3/2)).at n=35A000093
- Topswops (2): start by shuffling n cards labeled 1..n. If the top card is m, reverse the order of the top m cards. Repeat until 1 gets to the top, then stop. Suppose the whole deck is now sorted (if not, discard this case). a(n) is the maximal number of steps before 1 got to the top.at n=18A000376
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=15A000511
- Number of steps to reach 1 in sequence A000546.at n=54A000547
- Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=15A000960
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=19A001101
- Wedderburn-Etherington numbers: unlabeled binary rooted trees (every node has outdegree 0 or 2) with n endpoints (and 2n-1 nodes in all).at n=11A001190
- Double-bitters: only even length runs in binary expansion.at n=11A001196
- Number of 2n-step polygons on cubic lattice.at n=4A001409
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=31A001463
- A Fielder sequence.at n=7A001649
- Sorting numbers: number of comparisons for merge insertion sort of n elements.at n=47A001768
- Sorting numbers: maximal number of comparisons for sorting n elements by binary insertion.at n=44A001855
- Hit polynomials.at n=4A001885
- v-pile numbers of the 3-Wythoff game with i=1.at n=48A001958
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=17A001973
- Number of partitions of n with exactly two part sizes.at n=36A002133