Properties of the Number 61

Sixty-One

Basics

Value: 60 → 61 → 62

Parity: odd

Prime: Yes

Previous Prime: 59

Next Prime: 67

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 61

Divisors: 1, 61

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101

Octal: 75

Duodecimal: 51

Hexadecimal: 3d

Square: 3721

Square Root: 7.810249675906654

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

The prime numbers. A40

The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous. A27

Squarefree numbers: numbers that are not divisible by a square greater than 1. A5117

The odd numbers: a(n) = 2·n + 1. A5408

Gpf(n): greatest prime dividing n, for n >= 2; a(1)=1. A6530

Largest squarefree number dividing n: the squarefree kernel of n, rad(n), radical of n. A7947

Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1). A961

a(n) = n' = arithmetic derivative of n: a(0) = a(1) = 0, a(prime) = 1, a(m·n) = m·a(n) + n·a(m). A3415

Lpf(n): least prime dividing n (when n > 1); a(1) = 1. Or, smallest prime factor of n, or smallest prime divisor of n. A20639

Completely multiplicative with a(prime(k)) = prime(k+1). A3961