Properties of the Number 61027

Sixty-One Thousand Twenty-Seven

Basics

Value: 61026 → 61027 → 61028

Parity: odd

Prime: Yes

Previous Prime: 61007

Next Prime: 61031

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 61027

Divisors: 1, 61027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111001100011

Octal: 167143

Duodecimal: 2B397

Hexadecimal: ee63

Square: 3724294729

Square Root: 247.03643455976285

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

Primes equal to the sum of the first k primes for some k. A13918

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A291844

a(1) = 2; a(n+1) is the smallest prime > a(n) which differs from it in every digit. A68853

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) is a part of p. A241735

a(n) and a(n)+4^k are primes at least for k=1,2,3,4. A49494

Records in A111267. A111268

Column 3 of triangle A291844. A294163

n-th prime that begins with prime(n). A229206

Number of nX5 0..1 arrays with every element equal to 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A298097

T(n,k)=Number of nXk 0..1 arrays with every element equal to 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A298100