λ
Harmonic Matrix

8,595,427

617 × 13931
Deficient Odd Composite

8,595,427 has digital root 4. The neighboring primes are 8595409 and 8595443; its proper-divisor sum differs from the starting integer by -8,580,878.

Prime Factor Structure

Factorization String 617 × 13931
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,609,976
Proper Divisor Sum 14,549
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8595409 ← → #8595443

Radix Representation

Decimal 8595427
Binary 100000110010011111100011 (24 bits)
Octal 0o40623743
Hexadecimal 0x8327E3

Divisor Catalog (4)

1 617 13,931 8,595,427

Collatz Trajectory (243 steps to reach 1)

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

8,595,427 25,786,282 12,893,141 38,679,424 19,339,712 9,669,856 4,834,928 2,417,464 1,208,732 604,366 302,183 906,550 453,275 1,359,826 679,913 2,039,740 1,019,870 509,935 1,529,806 764,903 2,294,710 1,147,355 3,442,066 1,721,033 5,163,100 2,581,550 1,290,775 3,872,326 1,936,163 5,808,490 2,904,245 8,712,736 4,356,368 2,178,184 1,089,092 544,546 272,273 816,820 408,410 204,205 612,616 306,308 153,154 76,577 229,732 114,866 57,433 172,300 86,150 43,075 129,226 64,613 193,840 96,920 48,460 24,230 12,115 36,346 18,173 54,520

More profiles

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