λ
Prime Ledger

265,393

41 × 6473
Deficient Odd Composite

265,393 has the prime decomposition 41 × 6473. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 6473
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 271,908
Proper Divisor Sum 6,515
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #265381 ← → #265399

Radix Representation

Decimal 265393
Binary 1000000110010110001 (19 bits)
Octal 0o1006261
Hexadecimal 0x40CB1

Divisor Catalog (4)

1 41 6,473 265,393

Collatz Trajectory (132 steps to reach 1)

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

265,393 796,180 398,090 199,045 597,136 298,568 149,284 74,642 37,321 111,964 55,982 27,991 83,974 41,987 125,962 62,981 188,944 94,472 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115

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