λ
Integer Codex

8,004,419

8004419
Deficient Odd Prime

For 8,004,419, the 2 positive divisors have a total of 8,004,420. Removing 8,004,419 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8004419
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,004,420
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8004413 ← → #8004427

Radix Representation

Decimal 8004419
Binary 11110100010001101000011 (23 bits)
Octal 0o36421503
Hexadecimal 0x7A2343

Divisor Catalog (2)

Collatz Trajectory (367 steps to reach 1)

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

8,004,419 24,013,258 12,006,629 36,019,888 18,009,944 9,004,972 4,502,486 2,251,243 6,753,730 3,376,865 10,130,596 5,065,298 2,532,649 7,597,948 3,798,974 1,899,487 5,698,462 2,849,231 8,547,694 4,273,847 12,821,542 6,410,771 19,232,314 9,616,157 28,848,472 14,424,236 7,212,118 3,606,059 10,818,178 5,409,089 16,227,268 8,113,634 4,056,817 12,170,452 6,085,226 3,042,613 9,127,840 4,563,920 2,281,960 1,140,980 570,490 285,245 855,736 427,868 213,934 106,967 320,902 160,451 481,354 240,677 722,032 361,016 180,508 90,254 45,127 135,382 67,691 203,074 101,537 304,612

More profiles

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