λ
Harmonic Matrix

6,831,015

3 × 5 × 455401
Deficient Odd Composite

6,831,015 has digital root 6. The neighboring primes are 6831007 and 6831029; its proper-divisor sum differs from the starting integer by -2,732,382.

Prime Factor Structure

Factorization String 3 × 5 × 455401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,929,648
Proper Divisor Sum 4,098,633
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6831007 ← → #6831029

Radix Representation

Decimal 6831015
Binary 11010000011101110100111 (23 bits)
Octal 0o32035647
Hexadecimal 0x683BA7

Divisor Catalog (8)

1 3 5 15 455,401 1,366,203 2,277,005 6,831,015

Collatz Trajectory (209 steps to reach 1)

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

6,831,015 20,493,046 10,246,523 30,739,570 15,369,785 46,109,356 23,054,678 11,527,339 34,582,018 17,291,009 51,873,028 25,936,514 12,968,257 38,904,772 19,452,386 9,726,193 29,178,580 14,589,290 7,294,645 21,883,936 10,941,968 5,470,984 2,735,492 1,367,746 683,873 2,051,620 1,025,810 512,905 1,538,716 769,358 384,679 1,154,038 577,019 1,731,058 865,529 2,596,588 1,298,294 649,147 1,947,442 973,721 2,921,164 1,460,582 730,291 2,190,874 1,095,437 3,286,312 1,643,156 821,578 410,789 1,232,368 616,184 308,092 154,046 77,023 231,070 115,535 346,606 173,303 519,910 259,955

More profiles

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