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Properties of the Number 74601

Seventy-Four Thousand Six Hundred One

Basics

Value: 74600 → 74601 → 74602

Parity: odd

Prime: No

Previous Prime: 74597

Next Prime: 74609

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 5 × 307

Divisors: 1, 3, 9, 27, 81, 243, 307, 921, 2763, 8289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010001101101001

Octal: 221551

Duodecimal: 37209

Hexadecimal: 12369

Square: 5565309201

Square Root: 273.13183629888334

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

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=up and 0=down; triangle T(n,k), n>=0, read by rows. A242783
Number of linear extensions of a poset whose Hasse diagram consists of n binary shrubs with type Bn joins. A293951
E.g.f.: (3+2·sqrt(3)*exp(x/2)*sin(sqrt(3)*x/2))/(exp(-x)+2·exp(x/2)*cos(sqrt(3)*x/2)). A178963
Numbers m such that A186711(m) = 1. A186771
Coefficient of·of the OmegaPolynomials (A318146), T(n, k) = [x] P(n, k) with n>=1 and k>=0, square array read by ascending antidiagonals. A318253
Number of permutations p of [n] such that p(i) > p(i+1) iff i == 2 (mod 3). A249583
Number of connected graphs, where vertices are labeled with positive integers summing to n, and where identically labeled vertices are indistinguishable and cannot be connected with an edge. A337717
Number of permutations of [n] with exactly three (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=up and 0=down. A246223
Coefficients of the ω polynomials of order 3, triangle T(n,k) read by rows with 0<=k<=n. A318147
Associated ω numbers of order 3, triangle T(n,k) read by rows for n >= 0 and 0 <= k <= n. A318255