λ
Harmonic Matrix

4,107,014

2 × 2053507
Deficient Even Composite

4,107,014 has digital root 8. The neighboring primes are 4107007 and 4107029; its proper-divisor sum differs from the starting integer by -2,053,504.

Prime Factor Structure

Factorization String 2 × 2053507
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,160,524
Proper Divisor Sum 2,053,510
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4107007 ← → #4107029

Radix Representation

Decimal 4107014
Binary 1111101010101100000110 (22 bits)
Octal 0o17525406
Hexadecimal 0x3EAB06

Divisor Catalog (4)

1 2 2,053,507 4,107,014

Collatz Trajectory (154 steps to reach 1)

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

4,107,014 2,053,507 6,160,522 3,080,261 9,240,784 4,620,392 2,310,196 1,155,098 577,549 1,732,648 866,324 433,162 216,581 649,744 324,872 162,436 81,218 40,609 121,828 60,914 30,457 91,372 45,686 22,843 68,530 34,265 102,796 51,398 25,699 77,098 38,549 115,648 57,824 28,912 14,456 7,228 3,614 1,807 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728

More profiles

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