λ
Harmonic Matrix

4,003,429

43 × 93103
Deficient Odd Composite

4,003,429 has digital root 4. The neighboring primes are 4003427 and 4003453; its proper-divisor sum differs from the starting integer by -3,910,282.

Prime Factor Structure

Factorization String 43 × 93103
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,096,576
Proper Divisor Sum 93,147
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4003427 ← → #4003453

Radix Representation

Decimal 4003429
Binary 1111010001011001100101 (22 bits)
Octal 0o17213145
Hexadecimal 0x3D1665

Divisor Catalog (4)

1 43 93,103 4,003,429

Collatz Trajectory (141 steps to reach 1)

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

4,003,429 12,010,288 6,005,144 3,002,572 1,501,286 750,643 2,251,930 1,125,965 3,377,896 1,688,948 844,474 422,237 1,266,712 633,356 316,678 158,339 475,018 237,509 712,528 356,264 178,132 89,066 44,533 133,600 66,800 33,400 16,700 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

More profiles

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