λ
Prime Ledger

1,286,259

3 × 132 × 43 × 59
Deficient Odd Composite

1,286,259 has the prime decomposition 3 × 13^2 × 43 × 59. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 13^2 × 43 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,932,480
Proper Divisor Sum 646,221
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1286239 ← → #1286261

Radix Representation

Decimal 1286259
Binary 100111010000001110011 (21 bits)
Octal 0o4720163
Hexadecimal 0x13A073

Divisor Catalog (24)

1 3 13 39 43 59 129 169 177 507 559 767 1,677 2,301 2,537 7,267 7,611 9,971 21,801 29,913 32,981 98,943 428,753 1,286,259

Collatz Trajectory (98 steps to reach 1)

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

1,286,259 3,858,778 1,929,389 5,788,168 2,894,084 1,447,042 723,521 2,170,564 1,085,282 542,641 1,627,924 813,962 406,981 1,220,944 610,472 305,236 152,618 76,309 228,928 114,464 57,232 28,616 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

More profiles

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