1,129,782

2 × 3 × 29 × 43 × 151

1,129,782 factors as 2 × 3 × 29 × 43 × 151. Its 32 positive divisors give a proper-divisor sum of 1,277,898, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 43 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,407,680

Proper Divisor Sum 1,277,898

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1129763 ← → #1129787

Radix Representation

Decimal	1129782
Binary	100010011110100110110 (21 bits)
Octal	0o4236466
Hexadecimal	0x113D36

Divisor Catalog (32)

Collatz Trajectory (85 steps to reach 1)

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

1,129,782 564,891 1,694,674 847,337 2,542,012 1,271,006 635,503 1,906,510 953,255 2,859,766 1,429,883 4,289,650 2,144,825 6,434,476 3,217,238 1,608,619 4,825,858 2,412,929 7,238,788 3,619,394 1,809,697 5,429,092 2,714,546 1,357,273 4,071,820 2,035,910 1,017,955 3,053,866 1,526,933 4,580,800 2,290,400 1,145,200 572,600 286,300 143,150 71,575 214,726 107,363 322,090 161,045 483,136 241,568 120,784 60,392 30,196 15,098 7,549 22,648 11,324 5,662 2,831 8,494 4,247 12,742 6,371 19,114 9,557 28,672 14,336 7,168

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,129,781 Browse Full Index Next Integer #1,129,783 →