λ
Harmonic Matrix

813,069

32 × 61 × 1481
Deficient Odd Composite

813,069 has digital root 9. The neighboring primes are 813061 and 813083; its proper-divisor sum differs from the starting integer by -431,646.

Prime Factor Structure

Factorization String 3^2 × 61 × 1481
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,194,492
Proper Divisor Sum 381,423
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #813061 ← → #813083

Radix Representation

Decimal 813069
Binary 11000110100000001101 (20 bits)
Octal 0o3064015
Hexadecimal 0xC680D

Divisor Catalog (12)

1 3 9 61 183 549 1,481 4,443 13,329 90,341 271,023 813,069

Collatz Trajectory (206 steps to reach 1)

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

813,069 2,439,208 1,219,604 609,802 304,901 914,704 457,352 228,676 114,338 57,169 171,508 85,754 42,877 128,632 64,316 32,158 16,079 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159

More profiles

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