701
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 702
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 700
- Möbius Function
- -1
- Radical
- 701
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 82
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 126
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- siebenhunderteins· ordinal: siebenhunderteinsste
- English
- seven hundred one· ordinal: seven hundred first
- Spanish
- setecientos uno· ordinal: 701º
- French
- sept cent un· ordinal: sept cent unième
- Italian
- settecentouno· ordinal: 701º
- Latin
- septingenti unus· ordinal: 701.
- Portuguese
- setecentos e um· ordinal: 701º
Appears in sequences
- Number of partitions into non-integral powers.at n=15A000148
- Numbers m such that Fibonacci(m) ends with m.at n=25A000350
- Wagstaff numbers: numbers k such that (2^k + 1)/3 is prime.at n=19A000978
- a(n) = n*(n-1)*a(n-1)/2 + a(n-2), a(0) = 1, a(1) = 2.at n=5A001052
- Primes with primitive root 2.at n=51A001122
- Full reptend primes: primes with primitive root 10.at n=44A001913
- Prime numbers of measurement.at n=25A002049
- Primes of the form k^2 - k - 1.at n=16A002327
- Primes p with a Fibonacci primitive root g, i.e., such that g^2 = g + 1 (mod p).at n=38A003147
- Numbers k such that (12^k - 1)/11 is prime.at n=8A004064
- Primes written backwards.at n=27A004087
- Odd numbers written backwards.at n=53A004156
- Divisible only by primes congruent to 1 mod 5.at n=35A004615
- Numbers divisible only by primes congruent to 1 mod 7.at n=21A004619
- Class 3+ primes (for definition see A005105).at n=41A005107
- Number of distinct autocorrelations of binary words of length n.at n=35A005434
- Number of matched trees with 2n nodes.at n=7A005751
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=9A006285
- Emirps (primes whose reversal is a different prime).at n=20A006567
- Long period primes: the decimal expansion of 1/p has period p-1.at n=45A006883