λ
Harmonic Matrix

2,867,646

2 × 3 × 477941
Abundant Even Composite

2,867,646 has digital root 3. The neighboring primes are 2867633 and 2867677; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 477941
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,735,304
Proper Divisor Sum 2,867,658
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2867633 ← → #2867677

Radix Representation

Decimal 2867646
Binary 1010111100000110111110 (22 bits)
Octal 0o12740676
Hexadecimal 0x2BC1BE

Divisor Catalog (8)

1 2 3 6 477,941 955,882 1,433,823 2,867,646

Collatz Trajectory (200 steps to reach 1)

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

2,867,646 1,433,823 4,301,470 2,150,735 6,452,206 3,226,103 9,678,310 4,839,155 14,517,466 7,258,733 21,776,200 10,888,100 5,444,050 2,722,025 8,166,076 4,083,038 2,041,519 6,124,558 3,062,279 9,186,838 4,593,419 13,780,258 6,890,129 20,670,388 10,335,194 5,167,597 15,502,792 7,751,396 3,875,698 1,937,849 5,813,548 2,906,774 1,453,387 4,360,162 2,180,081 6,540,244 3,270,122 1,635,061 4,905,184 2,452,592 1,226,296 613,148 306,574 153,287 459,862 229,931 689,794 344,897 1,034,692 517,346 258,673 776,020 388,010 194,005 582,016 291,008 145,504 72,752 36,376 18,188

More profiles

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