λ
Integer Codex

3,007,615

5 × 13 × 46271
Deficient Odd Composite

For 3,007,615, the 8 positive divisors have a total of 3,886,848. Removing 3,007,615 leaves 879,233, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 13 × 46271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,886,848
Proper Divisor Sum 879,233
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3007607 ← → #3007621

Radix Representation

Decimal 3007615
Binary 1011011110010001111111 (22 bits)
Octal 0o13362177
Hexadecimal 0x2DE47F

Divisor Catalog (8)

1 5 13 65 46,271 231,355 601,523 3,007,615

Collatz Trajectory (138 steps to reach 1)

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

3,007,615 9,022,846 4,511,423 13,534,270 6,767,135 20,301,406 10,150,703 30,452,110 15,226,055 45,678,166 22,839,083 68,517,250 34,258,625 102,775,876 51,387,938 25,693,969 77,081,908 38,540,954 19,270,477 57,811,432 28,905,716 14,452,858 7,226,429 21,679,288 10,839,644 5,419,822 2,709,911 8,129,734 4,064,867 12,194,602 6,097,301 18,291,904 9,145,952 4,572,976 2,286,488 1,143,244 571,622 285,811 857,434 428,717 1,286,152 643,076 321,538 160,769 482,308 241,154 120,577 361,732 180,866 90,433 271,300 135,650 67,825 203,476 101,738 50,869 152,608 76,304 38,152 19,076

More profiles

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