λ
Harmonic Matrix

4,197,802

2 × 7 × 299843
Deficient Even Composite

4,197,802 has digital root 4. The neighboring primes are 4197797 and 4197821; its proper-divisor sum differs from the starting integer by -1,199,348.

Prime Factor Structure

Factorization String 2 × 7 × 299843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,196,256
Proper Divisor Sum 2,998,454
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4197797 ← → #4197821

Radix Representation

Decimal 4197802
Binary 10000000000110110101010 (23 bits)
Octal 0o20006652
Hexadecimal 0x400DAA

Divisor Catalog (8)

1 2 7 14 299,843 599,686 2,098,901 4,197,802

Collatz Trajectory (105 steps to reach 1)

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

4,197,802 2,098,901 6,296,704 3,148,352 1,574,176 787,088 393,544 196,772 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134 105,067 315,202 157,601 472,804 236,402 118,201 354,604 177,302 88,651 265,954 132,977 398,932 199,466 99,733 299,200 149,600 74,800 37,400 18,700 9,350 4,675 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740

More profiles

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