λ
Integer Codex

306,581

11 × 47 × 593
Deficient Odd Composite

For 306,581, the 8 positive divisors have a total of 342,144. Removing 306,581 leaves 35,563, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 47 × 593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 342,144
Proper Divisor Sum 35,563
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #306577 ← → #306587

Radix Representation

Decimal 306581
Binary 1001010110110010101 (19 bits)
Octal 0o1126625
Hexadecimal 0x4AD95

Divisor Catalog (8)

1 11 47 517 593 6,523 27,871 306,581

Collatz Trajectory (78 steps to reach 1)

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

306,581 919,744 459,872 229,936 114,968 57,484 28,742 14,371 43,114 21,557 64,672 32,336 16,168 8,084 4,042 2,021 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56

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