λ
Harmonic Matrix

7,041,345

3 × 5 × 29 × 16187
Deficient Odd Composite

7,041,345 has digital root 6. The neighboring primes are 7041341 and 7041367; its proper-divisor sum differs from the starting integer by -2,427,330.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 16187
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,655,360
Proper Divisor Sum 4,614,015
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7041341 ← → #7041367

Radix Representation

Decimal 7041345
Binary 11010110111000101000001 (23 bits)
Octal 0o32670501
Hexadecimal 0x6B7141

Divisor Catalog (16)

1 3 5 15 29 87 145 435 16,187 48,561 80,935 242,805 469,423 1,408,269 2,347,115 7,041,345

Collatz Trajectory (98 steps to reach 1)

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

7,041,345 21,124,036 10,562,018 5,281,009 15,843,028 7,921,514 3,960,757 11,882,272 5,941,136 2,970,568 1,485,284 742,642 371,321 1,113,964 556,982 278,491 835,474 417,737 1,253,212 626,606 313,303 939,910 469,955 1,409,866 704,933 2,114,800 1,057,400 528,700 264,350 132,175 396,526 198,263 594,790 297,395 892,186 446,093 1,338,280 669,140 334,570 167,285 501,856 250,928 125,464 62,732 31,366 15,683 47,050 23,525 70,576 35,288 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445

More profiles

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