λ
Harmonic Matrix

796,581

33 × 163 × 181
Deficient Odd Composite

796,581 has digital root 9. The neighboring primes are 796571 and 796583; its proper-divisor sum differs from the starting integer by -399,242.

Prime Factor Structure

Factorization String 3^3 × 163 × 181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,193,920
Proper Divisor Sum 397,339
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #796571 ← → #796583

Radix Representation

Decimal 796581
Binary 11000010011110100101 (20 bits)
Octal 0o3023645
Hexadecimal 0xC27A5

Divisor Catalog (16)

1 3 9 27 163 181 489 543 1,467 1,629 4,401 4,887 29,503 88,509 265,527 796,581

Collatz Trajectory (131 steps to reach 1)

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

796,581 2,389,744 1,194,872 597,436 298,718 149,359 448,078 224,039 672,118 336,059 1,008,178 504,089 1,512,268 756,134 378,067 1,134,202 567,101 1,701,304 850,652 425,326 212,663 637,990 318,995 956,986 478,493 1,435,480 717,740 358,870 179,435 538,306 269,153 807,460 403,730 201,865 605,596 302,798 151,399 454,198 227,099 681,298 340,649 1,021,948 510,974 255,487 766,462 383,231 1,149,694 574,847 1,724,542 862,271 2,586,814 1,293,407 3,880,222 1,940,111 5,820,334 2,910,167 8,730,502 4,365,251 13,095,754 6,547,877

More profiles

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