λ
Harmonic Matrix

4,627,009

17 × 47 × 5791
Deficient Odd Composite

4,627,009 has digital root 1. The neighboring primes are 4627003 and 4627031; its proper-divisor sum differs from the starting integer by -4,249,730.

Prime Factor Structure

Factorization String 17 × 47 × 5791
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,004,288
Proper Divisor Sum 377,279
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4627003 ← → #4627031

Radix Representation

Decimal 4627009
Binary 10001101001101001000001 (23 bits)
Octal 0o21515101
Hexadecimal 0x469A41

Divisor Catalog (8)

1 17 47 799 5,791 98,447 272,177 4,627,009

Collatz Trajectory (193 steps to reach 1)

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

4,627,009 13,881,028 6,940,514 3,470,257 10,410,772 5,205,386 2,602,693 7,808,080 3,904,040 1,952,020 976,010 488,005 1,464,016 732,008 366,004 183,002 91,501 274,504 137,252 68,626 34,313 102,940 51,470 25,735 77,206 38,603 115,810 57,905 173,716 86,858 43,429 130,288 65,144 32,572 16,286 8,143 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894

More profiles

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