6,567,815

5 × 31 × 42373

For 6,567,815, the 8 positive divisors have a total of 8,135,808. Removing 6,567,815 leaves 1,567,993, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 31 × 42373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,135,808

Proper Divisor Sum 1,567,993

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6567779 ← → #6567817

Radix Representation

Decimal	6567815
Binary	11001000011011110000111 (23 bits)
Octal	0o31033607
Hexadecimal	0x643787

Divisor Catalog (8)

1 5 31 155 42,373 211,865 1,313,563 6,567,815

Collatz Trajectory (165 steps to reach 1)

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

6,567,815 19,703,446 9,851,723 29,555,170 14,777,585 44,332,756 22,166,378 11,083,189 33,249,568 16,624,784 8,312,392 4,156,196 2,078,098 1,039,049 3,117,148 1,558,574 779,287 2,337,862 1,168,931 3,506,794 1,753,397 5,260,192 2,630,096 1,315,048 657,524 328,762 164,381 493,144 246,572 123,286 61,643 184,930 92,465 277,396 138,698 69,349 208,048 104,024 52,012 26,006 13,003 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946

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