λ
Prime Ledger

345,293

13 × 26561
Deficient Odd Composite

345,293 has the prime decomposition 13 × 26561. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 26561
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 371,868
Proper Divisor Sum 26,575
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #345271 ← → #345307

Radix Representation

Decimal 345293
Binary 1010100010011001101 (19 bits)
Octal 0o1242315
Hexadecimal 0x544CD

Divisor Catalog (4)

1 13 26,561 345,293

Collatz Trajectory (60 steps to reach 1)

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

345,293 1,035,880 517,940 258,970 129,485 388,456 194,228 97,114 48,557 145,672 72,836 36,418 18,209 54,628 27,314 13,657 40,972 20,486 10,243 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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