λ
Prime Ledger

4,363,746

2 × 3 × 29 × 31 × 809
Abundant Even Composite

4,363,746 has the prime decomposition 2 × 3 × 29 × 31 × 809. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 31 × 809
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,331,200
Proper Divisor Sum 4,967,454
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4363703 ← → #4363771

Radix Representation

Decimal 4363746
Binary 10000101001010111100010 (23 bits)
Octal 0o20512742
Hexadecimal 0x4295E2

Divisor Catalog (32)

1 2 3 6 29 31 58 62 87 93 174 186 809 899 1,618 1,798 2,427 2,697 4,854 5,394 23,461 25,079 46,922 50,158 70,383 75,237 140,766 150,474 727,291 1,454,582 2,181,873 4,363,746

Collatz Trajectory (87 steps to reach 1)

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

4,363,746 2,181,873 6,545,620 3,272,810 1,636,405 4,909,216 2,454,608 1,227,304 613,652 306,826 153,413 460,240 230,120 115,060 57,530 28,765 86,296 43,148 21,574 10,787 32,362 16,181 48,544 24,272 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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