λ
Harmonic Matrix

7,041,656

23 × 541 × 1627
Deficient Even Composite

7,041,656 has digital root 2. The neighboring primes are 7041649 and 7041679; its proper-divisor sum differs from the starting integer by -847,672.

Prime Factor Structure

Factorization String 2^3 × 541 × 1627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,235,640
Proper Divisor Sum 6,193,984
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7041649 ← → #7041679

Radix Representation

Decimal 7041656
Binary 11010110111001001111000 (23 bits)
Octal 0o32671170
Hexadecimal 0x6B7278

Divisor Catalog (16)

1 2 4 8 541 1,082 1,627 2,164 3,254 4,328 6,508 13,016 880,207 1,760,414 3,520,828 7,041,656

Collatz Trajectory (173 steps to reach 1)

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

7,041,656 3,520,828 1,760,414 880,207 2,640,622 1,320,311 3,960,934 1,980,467 5,941,402 2,970,701 8,912,104 4,456,052 2,228,026 1,114,013 3,342,040 1,671,020 835,510 417,755 1,253,266 626,633 1,879,900 939,950 469,975 1,409,926 704,963 2,114,890 1,057,445 3,172,336 1,586,168 793,084 396,542 198,271 594,814 297,407 892,222 446,111 1,338,334 669,167 2,007,502 1,003,751 3,011,254 1,505,627 4,516,882 2,258,441 6,775,324 3,387,662 1,693,831 5,081,494 2,540,747 7,622,242 3,811,121 11,433,364 5,716,682 2,858,341 8,575,024 4,287,512 2,143,756 1,071,878 535,939 1,607,818

More profiles

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