λ
Prime Ledger

6,712,746

2 × 3 × 29 × 173 × 223
Abundant Even Composite

6,712,746 has the prime decomposition 2 × 3 × 29 × 173 × 223. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 173 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,031,360
Proper Divisor Sum 7,318,614
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6712729 ← → #6712751

Radix Representation

Decimal 6712746
Binary 11001100110110110101010 (23 bits)
Octal 0o31466652
Hexadecimal 0x666DAA

Divisor Catalog (32)

1 2 3 6 29 58 87 173 174 223 346 446 519 669 1,038 1,338 5,017 6,467 10,034 12,934 15,051 19,401 30,102 38,579 38,802 77,158 115,737 231,474 1,118,791 2,237,582 3,356,373 6,712,746

Collatz Trajectory (59 steps to reach 1)

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

6,712,746 3,356,373 10,069,120 5,034,560 2,517,280 1,258,640 629,320 314,660 157,330 78,665 235,996 117,998 58,999 176,998 88,499 265,498 132,749 398,248 199,124 99,562 49,781 149,344 74,672 37,336 18,668 9,334 4,667 14,002 7,001 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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