801,034

2 × 13 × 30809

801,034 factors as 2 × 13 × 30809. Its 8 positive divisors give a proper-divisor sum of 492,986, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 13 × 30809

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,294,020

Proper Divisor Sum 492,986

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #801019 ← → #801037

Radix Representation

Decimal	801034
Binary	11000011100100001010 (20 bits)
Octal	0o3034412
Hexadecimal	0xC390A

Divisor Catalog (8)

1 2 13 26 30,809 61,618 400,517 801,034

Collatz Trajectory (118 steps to reach 1)

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

801,034 400,517 1,201,552 600,776 300,388 150,194 75,097 225,292 112,646 56,323 168,970 84,485 253,456 126,728 63,364 31,682 15,841 47,524 23,762 11,881 35,644 17,822 8,911 26,734 13,367 40,102 20,051 60,154 30,077 90,232 45,116 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850

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