λ
Integer Codex

8,179,807

8179807
Deficient Odd Prime

For 8,179,807, the 2 positive divisors have a total of 8,179,808. Removing 8,179,807 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8179807
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,179,808
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8179793 ← → #8179811

Radix Representation

Decimal 8179807
Binary 11111001101000001011111 (23 bits)
Octal 0o37150137
Hexadecimal 0x7CD05F

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

8,179,807 24,539,422 12,269,711 36,809,134 18,404,567 55,213,702 27,606,851 82,820,554 41,410,277 124,230,832 62,115,416 31,057,708 15,528,854 7,764,427 23,293,282 11,646,641 34,939,924 17,469,962 8,734,981 26,204,944 13,102,472 6,551,236 3,275,618 1,637,809 4,913,428 2,456,714 1,228,357 3,685,072 1,842,536 921,268 460,634 230,317 690,952 345,476 172,738 86,369 259,108 129,554 64,777 194,332 97,166 48,583 145,750 72,875 218,626 109,313 327,940 163,970 81,985 245,956 122,978 61,489 184,468 92,234 46,117 138,352 69,176 34,588 17,294 8,647

More profiles

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