λ
Harmonic Matrix

8,886,732

22 × 3 × 740561
Abundant Even Composite

8,886,732 has digital root 6. The neighboring primes are 8886721 and 8886781; its proper-divisor sum differs from the starting integer by 2,962,272.

Prime Factor Structure

Factorization String 2^2 × 3 × 740561
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 20,735,736
Proper Divisor Sum 11,849,004
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8886721 ← → #8886781

Radix Representation

Decimal 8886732
Binary 100001111001100111001100 (24 bits)
Octal 0o41714714
Hexadecimal 0x8799CC

Divisor Catalog (12)

1 2 3 4 6 12 740,561 1,481,122 2,221,683 2,962,244 4,443,366 8,886,732

Collatz Trajectory (287 steps to reach 1)

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

8,886,732 4,443,366 2,221,683 6,665,050 3,332,525 9,997,576 4,998,788 2,499,394 1,249,697 3,749,092 1,874,546 937,273 2,811,820 1,405,910 702,955 2,108,866 1,054,433 3,163,300 1,581,650 790,825 2,372,476 1,186,238 593,119 1,779,358 889,679 2,669,038 1,334,519 4,003,558 2,001,779 6,005,338 3,002,669 9,008,008 4,504,004 2,252,002 1,126,001 3,378,004 1,689,002 844,501 2,533,504 1,266,752 633,376 316,688 158,344 79,172 39,586 19,793 59,380 29,690 14,845 44,536 22,268 11,134 5,567 16,702 8,351 25,054 12,527 37,582 18,791 56,374

More profiles

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