λ
Harmonic Matrix

4,206,721

4206721
Deficient Odd Prime

4,206,721 has digital root 4. The neighboring primes are 4206703 and 4206737; its proper-divisor sum differs from the starting integer by -4,206,720.

Prime Factor Structure

Factorization String 4206721
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,206,722
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4206703 ← → #4206737

Radix Representation

Decimal 4206721
Binary 10000000011000010000001 (23 bits)
Octal 0o20030201
Hexadecimal 0x403081

Divisor Catalog (2)

Collatz Trajectory (242 steps to reach 1)

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

4,206,721 12,620,164 6,310,082 3,155,041 9,465,124 4,732,562 2,366,281 7,098,844 3,549,422 1,774,711 5,324,134 2,662,067 7,986,202 3,993,101 11,979,304 5,989,652 2,994,826 1,497,413 4,492,240 2,246,120 1,123,060 561,530 280,765 842,296 421,148 210,574 105,287 315,862 157,931 473,794 236,897 710,692 355,346 177,673 533,020 266,510 133,255 399,766 199,883 599,650 299,825 899,476 449,738 224,869 674,608 337,304 168,652 84,326 42,163 126,490 63,245 189,736 94,868 47,434 23,717 71,152 35,576 17,788 8,894 4,447

More profiles

← Previous Integer #4,206,720 Browse Full Index Next Integer #4,206,722 →