180,544

2⁶ × 7 × 13 × 31

180,544 is even and not a perfect square. Its factorization is 2^6 × 7 × 13 × 31 and its 56 divisors sum to 455,168.

Prime Factor Structure

Factorization String 2^6 × 7 × 13 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 455,168

Proper Divisor Sum 274,624

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #180541 ← → #180547

Radix Representation

Decimal	180544
Binary	101100000101000000 (18 bits)
Octal	0o540500
Hexadecimal	0x2C140

Divisor Catalog (56)

1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 182 208 217 224 248 364 403 416 434 448 496 728 806 832 868 992 1,456 1,612 1,736 1,984 2,821 2,912 3,224 3,472 5,642 5,824 6,448 6,944 11,284 12,896 13,888 22,568 25,792 45,136 90,272 180,544

Collatz Trajectory (41 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

180,544 90,272 45,136 22,568 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

← Previous Integer #180,543 Browse Full Index Next Integer #180,545 →