815,844

2² × 3 × 67987

815,844 factors as 2^2 × 3 × 67987. Its 12 positive divisors give a proper-divisor sum of 1,087,820, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 67987

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,903,664

Proper Divisor Sum 1,087,820

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #815831 ← → #815851

Radix Representation

Decimal	815844
Binary	11000111001011100100 (20 bits)
Octal	0o3071344
Hexadecimal	0xC72E4

Divisor Catalog (12)

1 2 3 4 6 12 67,987 135,974 203,961 271,948 407,922 815,844

Collatz Trajectory (87 steps to reach 1)

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

815,844 407,922 203,961 611,884 305,942 152,971 458,914 229,457 688,372 344,186 172,093 516,280 258,140 129,070 64,535 193,606 96,803 290,410 145,205 435,616 217,808 108,904 54,452 27,226 13,613 40,840 20,420 10,210 5,105 15,316 7,658 3,829 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

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