λ
Prime Ledger

260,178

2 × 3 × 103 × 421
Abundant Even Composite

260,178 has the prime decomposition 2 × 3 × 103 × 421. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 103 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 526,656
Proper Divisor Sum 266,478
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #260171 ← → #260179

Radix Representation

Decimal 260178
Binary 111111100001010010 (18 bits)
Octal 0o774122
Hexadecimal 0x3F852

Divisor Catalog (16)

1 2 3 6 103 206 309 421 618 842 1,263 2,526 43,363 86,726 130,089 260,178

Collatz Trajectory (70 steps to reach 1)

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

260,178 130,089 390,268 195,134 97,567 292,702 146,351 439,054 219,527 658,582 329,291 987,874 493,937 1,481,812 740,906 370,453 1,111,360 555,680 277,840 138,920 69,460 34,730 17,365 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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