λ
Harmonic Matrix

4,231,146

2 × 3 × 705191
Abundant Even Composite

4,231,146 has digital root 3. The neighboring primes are 4231121 and 4231177; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 705191
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,462,304
Proper Divisor Sum 4,231,158
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4231121 ← → #4231177

Radix Representation

Decimal 4231146
Binary 10000001000111111101010 (23 bits)
Octal 0o20107752
Hexadecimal 0x408FEA

Divisor Catalog (8)

1 2 3 6 705,191 1,410,382 2,115,573 4,231,146

Collatz Trajectory (74 steps to reach 1)

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

4,231,146 2,115,573 6,346,720 3,173,360 1,586,680 793,340 396,670 198,335 595,006 297,503 892,510 446,255 1,338,766 669,383 2,008,150 1,004,075 3,012,226 1,506,113 4,518,340 2,259,170 1,129,585 3,388,756 1,694,378 847,189 2,541,568 1,270,784 635,392 317,696 158,848 79,424 39,712 19,856 9,928 4,964 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22

More profiles

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