λ
Harmonic Matrix

261,397

43 × 6079
Deficient Odd Composite

261,397 has digital root 1. The neighboring primes are 261389 and 261407; its proper-divisor sum differs from the starting integer by -255,274.

Prime Factor Structure

Factorization String 43 × 6079
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 267,520
Proper Divisor Sum 6,123
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #261389 ← → #261407

Radix Representation

Decimal 261397
Binary 111111110100010101 (18 bits)
Octal 0o776425
Hexadecimal 0x3FD15

Divisor Catalog (4)

1 43 6,079 261,397

Collatz Trajectory (70 steps to reach 1)

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

261,397 784,192 392,096 196,048 98,024 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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