λ
Prime Ledger

771,258

2 × 3 × 191 × 673
Abundant Even Composite

771,258 has the prime decomposition 2 × 3 × 191 × 673. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 191 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,552,896
Proper Divisor Sum 781,638
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #771233 ← → #771269

Radix Representation

Decimal 771258
Binary 10111100010010111010 (20 bits)
Octal 0o2742272
Hexadecimal 0xBC4BA

Divisor Catalog (16)

1 2 3 6 191 382 573 673 1,146 1,346 2,019 4,038 128,543 257,086 385,629 771,258

Collatz Trajectory (48 steps to reach 1)

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

771,258 385,629 1,156,888 578,444 289,222 144,611 433,834 216,917 650,752 325,376 162,688 81,344 40,672 20,336 10,168 5,084 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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