λ
Harmonic Matrix

6,445,032

23 × 3 × 11 × 24413
Abundant Even Composite

6,445,032 has digital root 6. The neighboring primes are 6445003 and 6445051; its proper-divisor sum differs from the starting integer by 4,688,016.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 24413
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,578,080
Proper Divisor Sum 11,133,048
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6445003 ← → #6445051

Radix Representation

Decimal 6445032
Binary 11000100101011111101000 (23 bits)
Octal 0o30453750
Hexadecimal 0x6257E8

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 24,413 48,826 73,239 97,652 146,478 195,304 268,543 292,956 537,086 585,912 805,629 1,074,172 1,611,258 2,148,344 3,222,516 6,445,032

Collatz Trajectory (116 steps to reach 1)

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

6,445,032 3,222,516 1,611,258 805,629 2,416,888 1,208,444 604,222 302,111 906,334 453,167 1,359,502 679,751 2,039,254 1,019,627 3,058,882 1,529,441 4,588,324 2,294,162 1,147,081 3,441,244 1,720,622 860,311 2,580,934 1,290,467 3,871,402 1,935,701 5,807,104 2,903,552 1,451,776 725,888 362,944 181,472 90,736 45,368 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138

More profiles

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