λ
Harmonic Matrix

4,287,489

3 × 1429163
Deficient Odd Composite

4,287,489 has digital root 6. The neighboring primes are 4287473 and 4287511; its proper-divisor sum differs from the starting integer by -2,858,322.

Prime Factor Structure

Factorization String 3 × 1429163
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,716,656
Proper Divisor Sum 1,429,167
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4287473 ← → #4287511

Radix Representation

Decimal 4287489
Binary 10000010110110000000001 (23 bits)
Octal 0o20266001
Hexadecimal 0x416C01

Divisor Catalog (4)

1 3 1,429,163 4,287,489

Collatz Trajectory (105 steps to reach 1)

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

4,287,489 12,862,468 6,431,234 3,215,617 9,646,852 4,823,426 2,411,713 7,235,140 3,617,570 1,808,785 5,426,356 2,713,178 1,356,589 4,069,768 2,034,884 1,017,442 508,721 1,526,164 763,082 381,541 1,144,624 572,312 286,156 143,078 71,539 214,618 107,309 321,928 160,964 80,482 40,241 120,724 60,362 30,181 90,544 45,272 22,636 11,318 5,659 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202

More profiles

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