λ
Prime Ledger

301,591

301591
Deficient Odd Prime

301,591 has the prime decomposition 301591. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 301591
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 301,592
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #301583 ← → #301601

Radix Representation

Decimal 301591
Binary 1001001101000010111 (19 bits)
Octal 0o1115027
Hexadecimal 0x49A17

Divisor Catalog (2)

Collatz Trajectory (140 steps to reach 1)

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

301,591 904,774 452,387 1,357,162 678,581 2,035,744 1,017,872 508,936 254,468 127,234 63,617 190,852 95,426 47,713 143,140 71,570 35,785 107,356 53,678 26,839 80,518 40,259 120,778 60,389 181,168 90,584 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890

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