1,291,584

2⁶ × 3 × 7 × 31²

1,291,584 has the prime decomposition 2^6 × 3 × 7 × 31^2. Its 4 distinct prime factors produce 84 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 31^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 4,035,552

Proper Divisor Sum 2,743,968

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1291579 ← → #1291603

Radix Representation

Decimal	1291584
Binary	100111011010101000000 (21 bits)
Octal	0o4732500
Hexadecimal	0x13B540

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 961 992 1,302 1,344 1,488 1,736 1,922 1,984 2,604 2,883 2,976 3,472 3,844 5,208 5,766 5,952 6,727 6,944 7,688 10,416

Collatz Trajectory (49 steps to reach 1)

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

1,291,584 645,792 322,896 161,448 80,724 40,362 20,181 60,544 30,272 15,136 7,568 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

← Previous Integer #1,291,583 Browse Full Index Next Integer #1,291,585 →