λ
Harmonic Matrix

4,360,209

3 × 7 × 207629
Deficient Odd Composite

4,360,209 has digital root 6. The neighboring primes are 4360207 and 4360229; its proper-divisor sum differs from the starting integer by -2,076,258.

Prime Factor Structure

Factorization String 3 × 7 × 207629
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,644,160
Proper Divisor Sum 2,283,951
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4360207 ← → #4360229

Radix Representation

Decimal 4360209
Binary 10000101000100000010001 (23 bits)
Octal 0o20504021
Hexadecimal 0x428811

Divisor Catalog (8)

1 3 7 21 207,629 622,887 1,453,403 4,360,209

Collatz Trajectory (92 steps to reach 1)

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

4,360,209 13,080,628 6,540,314 3,270,157 9,810,472 4,905,236 2,452,618 1,226,309 3,678,928 1,839,464 919,732 459,866 229,933 689,800 344,900 172,450 86,225 258,676 129,338 64,669 194,008 97,004 48,502 24,251 72,754 36,377 109,132 54,566 27,283 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769

More profiles

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