805,046

2 × 11 × 23 × 37 × 43

805,046 factors as 2 × 11 × 23 × 37 × 43. Its 32 positive divisors give a proper-divisor sum of 639,562, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 2 × 11 × 23 × 37 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,444,608

Proper Divisor Sum 639,562

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #805037 ← → #805061

Radix Representation

Decimal	805046
Binary	11000100100010110110 (20 bits)
Octal	0o3044266
Hexadecimal	0xC48B6

Divisor Catalog (32)

1 2 11 22 23 37 43 46 74 86 253 407 473 506 814 851 946 989 1,591 1,702 1,978 3,182 9,361 10,879 17,501 18,722 21,758 35,002 36,593 73,186 402,523 805,046

Collatz Trajectory (237 steps to reach 1)

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

805,046 402,523 1,207,570 603,785 1,811,356 905,678 452,839 1,358,518 679,259 2,037,778 1,018,889 3,056,668 1,528,334 764,167 2,292,502 1,146,251 3,438,754 1,719,377 5,158,132 2,579,066 1,289,533 3,868,600 1,934,300 967,150 483,575 1,450,726 725,363 2,176,090 1,088,045 3,264,136 1,632,068 816,034 408,017 1,224,052 612,026 306,013 918,040 459,020 229,510 114,755 344,266 172,133 516,400 258,200 129,100 64,550 32,275 96,826 48,413 145,240 72,620 36,310 18,155 54,466 27,233 81,700 40,850 20,425 61,276 30,638

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #805,045 Browse Full Index Next Integer #805,047 →