λ
Integer Codex

6,077,815

5 × 19 × 63977
Deficient Odd Composite

For 6,077,815, the 8 positive divisors have a total of 7,677,360. Removing 6,077,815 leaves 1,599,545, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 19 × 63977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,677,360
Proper Divisor Sum 1,599,545
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6077809 ← → #6077821

Radix Representation

Decimal 6077815
Binary 10111001011110101110111 (23 bits)
Octal 0o27136567
Hexadecimal 0x5CBD77

Divisor Catalog (8)

1 5 19 95 63,977 319,885 1,215,563 6,077,815

Collatz Trajectory (165 steps to reach 1)

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

6,077,815 18,233,446 9,116,723 27,350,170 13,675,085 41,025,256 20,512,628 10,256,314 5,128,157 15,384,472 7,692,236 3,846,118 1,923,059 5,769,178 2,884,589 8,653,768 4,326,884 2,163,442 1,081,721 3,245,164 1,622,582 811,291 2,433,874 1,216,937 3,650,812 1,825,406 912,703 2,738,110 1,369,055 4,107,166 2,053,583 6,160,750 3,080,375 9,241,126 4,620,563 13,861,690 6,930,845 20,792,536 10,396,268 5,198,134 2,599,067 7,797,202 3,898,601 11,695,804 5,847,902 2,923,951 8,771,854 4,385,927 13,157,782 6,578,891 19,736,674 9,868,337 29,605,012 14,802,506 7,401,253 22,203,760 11,101,880 5,550,940 2,775,470 1,387,735

More profiles

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