λ
Prime Ledger

6,900,744

23 × 3 × 271 × 1061
Abundant Even Composite

6,900,744 has the prime decomposition 2^3 × 3 × 271 × 1061. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 271 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,331,840
Proper Divisor Sum 10,431,096
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6900739 ← → #6900767

Radix Representation

Decimal 6900744
Binary 11010010100110000001000 (23 bits)
Octal 0o32246010
Hexadecimal 0x694C08

Divisor Catalog (32)

1 2 3 4 6 8 12 24 271 542 813 1,061 1,084 1,626 2,122 2,168 3,183 3,252 4,244 6,366 6,504 8,488 12,732 25,464 287,531 575,062 862,593 1,150,124 1,725,186 2,300,248 3,450,372 6,900,744

Collatz Trajectory (98 steps to reach 1)

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

6,900,744 3,450,372 1,725,186 862,593 2,587,780 1,293,890 646,945 1,940,836 970,418 485,209 1,455,628 727,814 363,907 1,091,722 545,861 1,637,584 818,792 409,396 204,698 102,349 307,048 153,524 76,762 38,381 115,144 57,572 28,786 14,393 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222

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