λ
Integer Codex

6,318,477

32 × 11 × 63823
Deficient Odd Composite

For 6,318,477, the 12 positive divisors have a total of 9,956,544. Removing 6,318,477 leaves 3,638,067, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 11 × 63823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,956,544
Proper Divisor Sum 3,638,067
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6318467 ← → #6318493

Radix Representation

Decimal 6318477
Binary 11000000110100110001101 (23 bits)
Octal 0o30064615
Hexadecimal 0x60698D

Divisor Catalog (12)

1 3 9 11 33 99 63,823 191,469 574,407 702,053 2,106,159 6,318,477

Collatz Trajectory (165 steps to reach 1)

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

6,318,477 18,955,432 9,477,716 4,738,858 2,369,429 7,108,288 3,554,144 1,777,072 888,536 444,268 222,134 111,067 333,202 166,601 499,804 249,902 124,951 374,854 187,427 562,282 281,141 843,424 421,712 210,856 105,428 52,714 26,357 79,072 39,536 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188

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