Properties of the Number 77527

Seventy-Seven Thousand Five Hundred Twenty-Seven

Basics

Value: 77526 → 77527 → 77528

Parity: odd

Prime: Yes

Previous Prime: 77521

Next Prime: 77543

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 77527

Divisors: 1, 77527

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111011010111

Octal: 227327

Duodecimal: 38A47

Hexadecimal: 12ed7

Square: 6010435729

Square Root: 278.4367073501624

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

Triangle read by rows, T(n,k) = (2^k-1) * T(n-1,k) + T(n-1,k-1). A139382

Primes that contain only the digits (2, 5, 7). A214705

Sum of the prime parts in the partitions of n into 8 parts. A309469

Larger of emirps (pairs) with only prime digits (A128388). A133753

Emirps with a prime number of only prime digits. A137833

Larger of emirps (pairs) with a prime number of only prime digits. A137835

Triangle T(n,k,2) read by rows (generalized q-Stirling numbers of second kind): T(n, k, q_) = (1/(q - 1)^k)*Sum[(-1)^{k - j}*q·Binomial[k + n, k -j] - Binomial[j + n, j, q - 1], {j, 0, k}], with q=2, where Binomial[,] is the Gaussian q-binomial coefficient as in A022166. A156823

Expansion of ∏_{i>=1, j>=1} (1 + x^i·j) * (1 + x^2·i*j). A329467

Primes p such that q1=6·p-1 and q2=6·p+1 are also primes (twin primes) and q1 is a Sophie Germain prime (i.e., 2·q1+1 is prime). A358381

Integers N such that the digits of N occur starting at the N-th place in N^N. A159003