λ
Integer Codex

6,440,730

2 × 3 × 5 × 214691
Abundant Even Composite

For 6,440,730, the 16 positive divisors have a total of 15,457,824. Removing 6,440,730 leaves 9,017,094, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 214691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,457,824
Proper Divisor Sum 9,017,094
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6440723 ← → #6440737

Radix Representation

Decimal 6440730
Binary 11000100100011100011010 (23 bits)
Octal 0o30443432
Hexadecimal 0x62471A

Divisor Catalog (16)

1 2 3 5 6 10 15 30 214,691 429,382 644,073 1,073,455 1,288,146 2,146,910 3,220,365 6,440,730

Collatz Trajectory (72 steps to reach 1)

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

6,440,730 3,220,365 9,661,096 4,830,548 2,415,274 1,207,637 3,622,912 1,811,456 905,728 452,864 226,432 113,216 56,608 28,304 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

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