λ
Harmonic Matrix

3,050,313

3 × 7 × 145253
Deficient Odd Composite

3,050,313 has digital root 6. The neighboring primes are 3050303 and 3050321; its proper-divisor sum differs from the starting integer by -1,452,498.

Prime Factor Structure

Factorization String 3 × 7 × 145253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,648,128
Proper Divisor Sum 1,597,815
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3050303 ← → #3050321

Radix Representation

Decimal 3050313
Binary 1011101000101101001001 (22 bits)
Octal 0o13505511
Hexadecimal 0x2E8B49

Divisor Catalog (8)

1 3 7 21 145,253 435,759 1,016,771 3,050,313

Collatz Trajectory (120 steps to reach 1)

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

3,050,313 9,150,940 4,575,470 2,287,735 6,863,206 3,431,603 10,294,810 5,147,405 15,442,216 7,721,108 3,860,554 1,930,277 5,790,832 2,895,416 1,447,708 723,854 361,927 1,085,782 542,891 1,628,674 814,337 2,443,012 1,221,506 610,753 1,832,260 916,130 458,065 1,374,196 687,098 343,549 1,030,648 515,324 257,662 128,831 386,494 193,247 579,742 289,871 869,614 434,807 1,304,422 652,211 1,956,634 978,317 2,934,952 1,467,476 733,738 366,869 1,100,608 550,304 275,152 137,576 68,788 34,394 17,197 51,592 25,796 12,898 6,449 19,348

More profiles

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