λ
Prime Ledger

3,662,046

2 × 32 × 389 × 523
Abundant Even Composite

3,662,046 has the prime decomposition 2 × 3^2 × 389 × 523. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 389 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,970,040
Proper Divisor Sum 4,307,994
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3662039 ← → #3662051

Radix Representation

Decimal 3662046
Binary 1101111110000011011110 (22 bits)
Octal 0o15760336
Hexadecimal 0x37E0DE

Divisor Catalog (24)

1 2 3 6 9 18 389 523 778 1,046 1,167 1,569 2,334 3,138 3,501 4,707 7,002 9,414 203,447 406,894 610,341 1,220,682 1,831,023 3,662,046

Collatz Trajectory (340 steps to reach 1)

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

3,662,046 1,831,023 5,493,070 2,746,535 8,239,606 4,119,803 12,359,410 6,179,705 18,539,116 9,269,558 4,634,779 13,904,338 6,952,169 20,856,508 10,428,254 5,214,127 15,642,382 7,821,191 23,463,574 11,731,787 35,195,362 17,597,681 52,793,044 26,396,522 13,198,261 39,594,784 19,797,392 9,898,696 4,949,348 2,474,674 1,237,337 3,712,012 1,856,006 928,003 2,784,010 1,392,005 4,176,016 2,088,008 1,044,004 522,002 261,001 783,004 391,502 195,751 587,254 293,627 880,882 440,441 1,321,324 660,662 330,331 990,994 495,497 1,486,492 743,246 371,623 1,114,870 557,435 1,672,306 836,153

More profiles

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