λ
Integer Codex

4,206,767

4206767
Deficient Odd Prime

For 4,206,767, the 2 positive divisors have a total of 4,206,768. Removing 4,206,767 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4206767
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,206,768
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4206757 ← → #4206773

Radix Representation

Decimal 4206767
Binary 10000000011000010101111 (23 bits)
Octal 0o20030257
Hexadecimal 0x4030AF

Divisor Catalog (2)

1 4,206,767

Collatz Trajectory (128 steps to reach 1)

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

4,206,767 12,620,302 6,310,151 18,930,454 9,465,227 28,395,682 14,197,841 42,593,524 21,296,762 10,648,381 31,945,144 15,972,572 7,986,286 3,993,143 11,979,430 5,989,715 17,969,146 8,984,573 26,953,720 13,476,860 6,738,430 3,369,215 10,107,646 5,053,823 15,161,470 7,580,735 22,742,206 11,371,103 34,113,310 17,056,655 51,169,966 25,584,983 76,754,950 38,377,475 115,132,426 57,566,213 172,698,640 86,349,320 43,174,660 21,587,330 10,793,665 32,380,996 16,190,498 8,095,249 24,285,748 12,142,874 6,071,437 18,214,312 9,107,156 4,553,578 2,276,789 6,830,368 3,415,184 1,707,592 853,796 426,898 213,449 640,348 320,174 160,087

More profiles

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