λ
Harmonic Matrix

260,957

59 × 4423
Deficient Odd Composite

260,957 has digital root 2. The neighboring primes are 260951 and 260959; its proper-divisor sum differs from the starting integer by -256,474.

Prime Factor Structure

Factorization String 59 × 4423
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 265,440
Proper Divisor Sum 4,483
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #260951 ← → #260959

Radix Representation

Decimal 260957
Binary 111111101101011101 (18 bits)
Octal 0o775535
Hexadecimal 0x3FB5D

Divisor Catalog (4)

1 59 4,423 260,957

Collatz Trajectory (163 steps to reach 1)

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

260,957 782,872 391,436 195,718 97,859 293,578 146,789 440,368 220,184 110,092 55,046 27,523 82,570 41,285 123,856 61,928 30,964 15,482 7,741 23,224 11,612 5,806 2,903 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47

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