λ
Harmonic Matrix

6,301,781

17 × 370693
Deficient Odd Composite

6,301,781 has digital root 8. The neighboring primes are 6301777 and 6301817; its proper-divisor sum differs from the starting integer by -5,931,070.

Prime Factor Structure

Factorization String 17 × 370693
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,672,492
Proper Divisor Sum 370,711
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6301777 ← → #6301817

Radix Representation

Decimal 6301781
Binary 11000000010100001010101 (23 bits)
Octal 0o30024125
Hexadecimal 0x602855

Divisor Catalog (4)

1 17 370,693 6,301,781

Collatz Trajectory (240 steps to reach 1)

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

6,301,781 18,905,344 9,452,672 4,726,336 2,363,168 1,181,584 590,792 295,396 147,698 73,849 221,548 110,774 55,387 166,162 83,081 249,244 124,622 62,311 186,934 93,467 280,402 140,201 420,604 210,302 105,151 315,454 157,727 473,182 236,591 709,774 354,887 1,064,662 532,331 1,596,994 798,497 2,395,492 1,197,746 598,873 1,796,620 898,310 449,155 1,347,466 673,733 2,021,200 1,010,600 505,300 252,650 126,325 378,976 189,488 94,744 47,372 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662

More profiles

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