λ
Integer Codex

3,008,343

3 × 13 × 77137
Deficient Odd Composite

For 3,008,343, the 8 positive divisors have a total of 4,319,728. Removing 3,008,343 leaves 1,311,385, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 77137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,319,728
Proper Divisor Sum 1,311,385
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3008339 ← → #3008347

Radix Representation

Decimal 3008343
Binary 1011011110011101010111 (22 bits)
Octal 0o13363527
Hexadecimal 0x2DE757

Divisor Catalog (8)

1 3 13 39 77,137 231,411 1,002,781 3,008,343

Collatz Trajectory (112 steps to reach 1)

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

3,008,343 9,025,030 4,512,515 13,537,546 6,768,773 20,306,320 10,153,160 5,076,580 2,538,290 1,269,145 3,807,436 1,903,718 951,859 2,855,578 1,427,789 4,283,368 2,141,684 1,070,842 535,421 1,606,264 803,132 401,566 200,783 602,350 301,175 903,526 451,763 1,355,290 677,645 2,032,936 1,016,468 508,234 254,117 762,352 381,176 190,588 95,294 47,647 142,942 71,471 214,414 107,207 321,622 160,811 482,434 241,217 723,652 361,826 180,913 542,740 271,370 135,685 407,056 203,528 101,764 50,882 25,441 76,324 38,162 19,081

More profiles

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