Properties of the Number 61748

Sixty-One Thousand Seven Hundred Forty-Eight

Basics

Value: 61747 → 61748 → 61749

Parity: even

Prime: No

Previous Prime: 61729

Next Prime: 61751

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 43 × 359

Divisors: 1, 2, 4, 43, 86, 172, 359, 718, 1436, 15437

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111000100110100

Octal: 170464

Duodecimal: 2B898

Hexadecimal: f134

Square: 3812815504

Square Root: 248.49144854501532

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

Exponential convolution of Catalan numbers with themselves. A14330

Numerators of increasingly better rational approximations to π with increasing denominators (3/1, 13/4, 16/5, 19/6, 22/7, 179/57, ...) A63674

Numbers n with property that A062234(n) = A062234(n+1) = A062234(n+2) = A062234(n+3). A257892

G.f. satisfies: A(x) = 1/(1 + x·A(x⁷)) and also the continued fraction: 1 + x·A(x⁸) = [1; 1/x, 1/x⁷, 1/x⁴⁹, 1/x³⁴³, ..., 1/x^{7^(n-1}), ...]. A101917

Number of compositions of 7·n-4 into parts 1 and 7. A373930

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of M (as in A204026), given by min(F(i+1),F(j+1)), where F=A000045 (Fibonacci numbers). A204027

Number of 3Xn arrays containing n copies of 0..3-1 with no element 1 greater than its north, southwest or northwest neighbor modulo 3 and the upper left element equal to 0. A266879

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(2·k*x)*(BesselI(0,2·x) - BesselI(1,2·x))^k. A294498

McKay-Thompson series of class 21C for the Monster group. A58565

Number of binary strings of length n with equal numbers of 00100 and 10101 substrings. A164242