Properties of the Number 74181

Seventy-Four Thousand One Hundred Eighty-One

Basics

Value: 74180 → 74181 → 74182

Parity: odd

Prime: No

Previous Prime: 74177

Next Prime: 74189

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 79 × 313

Divisors: 1, 3, 79, 237, 313, 939, 24727, 74181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010000111000101

Octal: 220705

Duodecimal: 36B19

Hexadecimal: 121c5

Square: 5502820761

Square Root: 272.3618916074714

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7. A252523

Number of partitions p of n such that mean(p) >= multiplicity(min(p)). A240079

Indices of the start of 10 successive distinct digits in the decimal expansion of π. A258157

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7. A252520

Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7. A252515

a(n) is the smallest divisor of triangular number T(n) := n(n+1)/2 not already in the sequence. A111273

Smallest power of n >= n!. A74181

This list of numbers a(i) has the property that every left-subset of length n > 0 of the numbers a(i) is divisible by i+n and are the largest such integers for every i. A113538