λ
Harmonic Matrix

7,076,514

2 × 3 × 1179419
Abundant Even Composite

7,076,514 has digital root 3. The neighboring primes are 7076501 and 7076521; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1179419
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,153,040
Proper Divisor Sum 7,076,526
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7076501 ← → #7076521

Radix Representation

Decimal 7076514
Binary 11010111111101010100010 (23 bits)
Octal 0o32775242
Hexadecimal 0x6BFAA2

Divisor Catalog (8)

1 2 3 6 1,179,419 2,358,838 3,538,257 7,076,514

Collatz Trajectory (129 steps to reach 1)

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

7,076,514 3,538,257 10,614,772 5,307,386 2,653,693 7,961,080 3,980,540 1,990,270 995,135 2,985,406 1,492,703 4,478,110 2,239,055 6,717,166 3,358,583 10,075,750 5,037,875 15,113,626 7,556,813 22,670,440 11,335,220 5,667,610 2,833,805 8,501,416 4,250,708 2,125,354 1,062,677 3,188,032 1,594,016 797,008 398,504 199,252 99,626 49,813 149,440 74,720 37,360 18,680 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486

More profiles

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