λ
Harmonic Matrix

8,595,884

22 × 11 × 347 × 563
Deficient Even Composite

8,595,884 has digital root 2. The neighboring primes are 8595857 and 8595889; its proper-divisor sum differs from the starting integer by -704,920.

Prime Factor Structure

Factorization String 2^2 × 11 × 347 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,486,848
Proper Divisor Sum 7,890,964
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #8595857 ← → #8595889

Radix Representation

Decimal 8595884
Binary 100000110010100110101100 (24 bits)
Octal 0o40624654
Hexadecimal 0x8329AC

Divisor Catalog (24)

1 2 4 11 22 44 347 563 694 1,126 1,388 2,252 3,817 6,193 7,634 12,386 15,268 24,772 195,361 390,722 781,444 2,148,971 4,297,942 8,595,884

Collatz Trajectory (119 steps to reach 1)

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

8,595,884 4,297,942 2,148,971 6,446,914 3,223,457 9,670,372 4,835,186 2,417,593 7,252,780 3,626,390 1,813,195 5,439,586 2,719,793 8,159,380 4,079,690 2,039,845 6,119,536 3,059,768 1,529,884 764,942 382,471 1,147,414 573,707 1,721,122 860,561 2,581,684 1,290,842 645,421 1,936,264 968,132 484,066 242,033 726,100 363,050 181,525 544,576 272,288 136,144 68,072 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516

More profiles

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