λ
Harmonic Matrix

3,999,441

3 × 37 × 137 × 263
Deficient Odd Composite

3,999,441 has digital root 3. The neighboring primes are 3999439 and 3999449; its proper-divisor sum differs from the starting integer by -2,461,218.

Prime Factor Structure

Factorization String 3 × 37 × 137 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,537,664
Proper Divisor Sum 1,538,223
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3999439 ← → #3999449

Radix Representation

Decimal 3999441
Binary 1111010000011011010001 (22 bits)
Octal 0o17203321
Hexadecimal 0x3D06D1

Divisor Catalog (16)

1 3 37 111 137 263 411 789 5,069 9,731 15,207 29,193 36,031 108,093 1,333,147 3,999,441

Collatz Trajectory (172 steps to reach 1)

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

3,999,441 11,998,324 5,999,162 2,999,581 8,998,744 4,499,372 2,249,686 1,124,843 3,374,530 1,687,265 5,061,796 2,530,898 1,265,449 3,796,348 1,898,174 949,087 2,847,262 1,423,631 4,270,894 2,135,447 6,406,342 3,203,171 9,609,514 4,804,757 14,414,272 7,207,136 3,603,568 1,801,784 900,892 450,446 225,223 675,670 337,835 1,013,506 506,753 1,520,260 760,130 380,065 1,140,196 570,098 285,049 855,148 427,574 213,787 641,362 320,681 962,044 481,022 240,511 721,534 360,767 1,082,302 541,151 1,623,454 811,727 2,435,182 1,217,591 3,652,774 1,826,387 5,479,162

More profiles

← Previous Integer #3,999,440 Browse Full Index Next Integer #3,999,442 →