λ
Harmonic Matrix

8,667,307

11 × 61 × 12917
Deficient Odd Composite

8,667,307 has digital root 1. The neighboring primes are 8667301 and 8667313; its proper-divisor sum differs from the starting integer by -7,723,622.

Prime Factor Structure

Factorization String 11 × 61 × 12917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,610,992
Proper Divisor Sum 943,685
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8667301 ← → #8667313

Radix Representation

Decimal 8667307
Binary 100001000100000010101011 (24 bits)
Octal 0o41040253
Hexadecimal 0x8440AB

Divisor Catalog (8)

1 11 61 671 12,917 142,087 787,937 8,667,307

Collatz Trajectory (243 steps to reach 1)

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

8,667,307 26,001,922 13,000,961 39,002,884 19,501,442 9,750,721 29,252,164 14,626,082 7,313,041 21,939,124 10,969,562 5,484,781 16,454,344 8,227,172 4,113,586 2,056,793 6,170,380 3,085,190 1,542,595 4,627,786 2,313,893 6,941,680 3,470,840 1,735,420 867,710 433,855 1,301,566 650,783 1,952,350 976,175 2,928,526 1,464,263 4,392,790 2,196,395 6,589,186 3,294,593 9,883,780 4,941,890 2,470,945 7,412,836 3,706,418 1,853,209 5,559,628 2,779,814 1,389,907 4,169,722 2,084,861 6,254,584 3,127,292 1,563,646 781,823 2,345,470 1,172,735 3,518,206 1,759,103 5,277,310 2,638,655 7,915,966 3,957,983 11,873,950

More profiles

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