λ
Harmonic Matrix

4,332,435

3 × 5 × 367 × 787
Deficient Odd Composite

4,332,435 has digital root 6. The neighboring primes are 4332409 and 4332443; its proper-divisor sum differs from the starting integer by -1,705,254.

Prime Factor Structure

Factorization String 3 × 5 × 367 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,959,616
Proper Divisor Sum 2,627,181
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4332409 ← → #4332443

Radix Representation

Decimal 4332435
Binary 10000100001101110010011 (23 bits)
Octal 0o20415623
Hexadecimal 0x421B93

Divisor Catalog (16)

1 3 5 15 367 787 1,101 1,835 2,361 3,935 5,505 11,805 288,829 866,487 1,444,145 4,332,435

Collatz Trajectory (105 steps to reach 1)

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

4,332,435 12,997,306 6,498,653 19,495,960 9,747,980 4,873,990 2,436,995 7,310,986 3,655,493 10,966,480 5,483,240 2,741,620 1,370,810 685,405 2,056,216 1,028,108 514,054 257,027 771,082 385,541 1,156,624 578,312 289,156 144,578 72,289 216,868 108,434 54,217 162,652 81,326 40,663 121,990 60,995 182,986 91,493 274,480 137,240 68,620 34,310 17,155 51,466 25,733 77,200 38,600 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764

More profiles

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