λ
Harmonic Matrix

8,077,777

2221 × 3637
Deficient Odd Composite

8,077,777 has digital root 7. The neighboring primes are 8077757 and 8077789; its proper-divisor sum differs from the starting integer by -8,071,918.

Prime Factor Structure

Factorization String 2221 × 3637
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,083,636
Proper Divisor Sum 5,859
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8077757 ← → #8077789

Radix Representation

Decimal 8077777
Binary 11110110100000111010001 (23 bits)
Octal 0o36640721
Hexadecimal 0x7B41D1

Divisor Catalog (4)

1 2,221 3,637 8,077,777

Collatz Trajectory (323 steps to reach 1)

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

8,077,777 24,233,332 12,116,666 6,058,333 18,175,000 9,087,500 4,543,750 2,271,875 6,815,626 3,407,813 10,223,440 5,111,720 2,555,860 1,277,930 638,965 1,916,896 958,448 479,224 239,612 119,806 59,903 179,710 89,855 269,566 134,783 404,350 202,175 606,526 303,263 909,790 454,895 1,364,686 682,343 2,047,030 1,023,515 3,070,546 1,535,273 4,605,820 2,302,910 1,151,455 3,454,366 1,727,183 5,181,550 2,590,775 7,772,326 3,886,163 11,658,490 5,829,245 17,487,736 8,743,868 4,371,934 2,185,967 6,557,902 3,278,951 9,836,854 4,918,427 14,755,282 7,377,641 22,132,924 11,066,462

More profiles

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