λ
Prime Ledger

261,385

5 × 61 × 857
Deficient Odd Composite

261,385 has the prime decomposition 5 × 61 × 857. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 61 × 857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 319,176
Proper Divisor Sum 57,791
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #261379 ← → #261389

Radix Representation

Decimal 261385
Binary 111111110100001001 (18 bits)
Octal 0o776411
Hexadecimal 0x3FD09

Divisor Catalog (8)

1 5 61 305 857 4,285 52,277 261,385

Collatz Trajectory (70 steps to reach 1)

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

261,385 784,156 392,078 196,039 588,118 294,059 882,178 441,089 1,323,268 661,634 330,817 992,452 496,226 248,113 744,340 372,170 186,085 558,256 279,128 139,564 69,782 34,891 104,674 52,337 157,012 78,506 39,253 117,760 58,880 29,440 14,720 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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