λ
Prime Ledger

317,105

5 × 63421
Deficient Odd Composite

317,105 has the prime decomposition 5 × 63421. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 63421
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 380,532
Proper Divisor Sum 63,427
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #317089 ← → #317123

Radix Representation

Decimal 317105
Binary 1001101011010110001 (19 bits)
Octal 0o1153261
Hexadecimal 0x4D6B1

Divisor Catalog (4)

1 5 63,421 317,105

Collatz Trajectory (127 steps to reach 1)

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

317,105 951,316 475,658 237,829 713,488 356,744 178,372 89,186 44,593 133,780 66,890 33,445 100,336 50,168 25,084 12,542 6,271 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012

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