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Atlas › Integer Profiles › Node 1,835,802

1,835,802

2 × 32 × 79 × 1291
Abundant Even Composite

1,835,802 factors as 2 × 3^2 × 79 × 1291. Its 24 positive divisors give a proper-divisor sum of 2,195,238, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 79 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,031,040
Proper Divisor Sum 2,195,238
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1835797 ← → #1835809

Radix Representation

Decimal 1835802
Binary 111000000001100011010 (21 bits)
Octal 0o7001432
Hexadecimal 0x1C031A

Divisor Catalog (24)

1 2 3 6 9 18 79 158 237 474 711 1,291 1,422 2,582 3,873 7,746 11,619 23,238 101,989 203,978 305,967 611,934 917,901 1,835,802

Collatz Trajectory (83 steps to reach 1)

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

1,835,802 917,901 2,753,704 1,376,852 688,426 344,213 1,032,640 516,320 258,160 129,080 64,540 32,270 16,135 48,406 24,203 72,610 36,305 108,916 54,458 27,229 81,688 40,844 20,422 10,211 30,634 15,317 45,952 22,976 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325

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