721
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
- 4
- Divisor Sum
- 832
- Proper Divisor Sum (Aliquot Sum)
- 111
- 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
- 612
- Möbius Function
- 1
- Radical
- 721
- Omega Function (Ω)
- 2
- 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
- 46
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Names
- German
- siebenhunderteinundzwanzig· ordinal: siebenhunderteinundzwanzigste
- English
- seven hundred twenty-one· ordinal: seven hundred twenty-first
- Spanish
- setecientos veintiuno· ordinal: 721º
- French
- sept cent vingt et un· ordinal: sept cent vingt et unième
- Italian
- settecentoventuno· ordinal: 721º
- Latin
- septingenti viginti unus· ordinal: 721.
- Portuguese
- setecentos e vinte e um· ordinal: 721º
Appears in sequences
- 5th power of rooted tree enumerator; number of linear forests of 5 rooted trees.at n=5A000343
- Powers of rooted tree enumerator.at n=4A000529
- Number of colored labeled n-node graphs with 2 interchangeable colors.at n=4A000684
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=33A001682
- Number of integral points in a certain sequence of open quadrilaterals.at n=42A002578
- Hex (or centered hexagonal) numbers: 3*n*(n+1)+1 (crystal ball sequence for hexagonal lattice).at n=15A003215
- Primes written backwards.at n=30A004087
- Expansion of (1 + x - x^5) / (1 - x)^3.at n=33A004120
- Divisible only by primes congruent to 7 mod 8.at n=41A004628
- Number of permutations of length n with equal cycles.at n=6A005225
- Numerators of continued fraction convergents to sqrt(10).at n=4A005667
- Related to representations as sums of Fibonacci numbers.at n=41A006132
- Largest number not a sum of distinct primes >= prime(n).at n=50A007414
- From a problem concerning circulant matrices and Gauss sums.at n=18A007791
- Expansion of (1+x^2)/((1-x)^2*(1-x^3)).at n=45A007980
- Coordination sequence T1 for Zeolite Code -CHI.at n=17A009846
- Even coefficients in expansion of e.g.f. cos(x)/sqrt(cos(2*x)).at n=3A012085
- Expansion of e.g.f.: exp(tan(arctanh(x)))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+121/5!*x^5...at n=6A012174
- cosh(tan(arctanh(x)))=1+1/2!*x^2+17/4!*x^4+721/6!*x^6+56545/8!*x^8...at n=3A012182
- Expansion of e.g.f. exp(arctanh(tan(x))).at n=6A012259