λ
Prime Ledger

2,655,464

23 × 7 × 47419
Abundant Even Composite

2,655,464 has the prime decomposition 2^3 × 7 × 47419. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 47419
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,690,400
Proper Divisor Sum 3,034,936
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2655463 ← → #2655469

Radix Representation

Decimal 2655464
Binary 1010001000010011101000 (22 bits)
Octal 0o12102350
Hexadecimal 0x2884E8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 47,419 94,838 189,676 331,933 379,352 663,866 1,327,732 2,655,464

Collatz Trajectory (94 steps to reach 1)

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

2,655,464 1,327,732 663,866 331,933 995,800 497,900 248,950 124,475 373,426 186,713 560,140 280,070 140,035 420,106 210,053 630,160 315,080 157,540 78,770 39,385 118,156 59,078 29,539 88,618 44,309 132,928 66,464 33,232 16,616 8,308 4,154 2,077 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472

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