λ
Harmonic Matrix

6,976,934

2 × 1721 × 2027
Deficient Even Composite

6,976,934 has digital root 8. The neighboring primes are 6976903 and 6976939; its proper-divisor sum differs from the starting integer by -3,477,220.

Prime Factor Structure

Factorization String 2 × 1721 × 2027
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,476,648
Proper Divisor Sum 3,499,714
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6976903 ← → #6976939

Radix Representation

Decimal 6976934
Binary 11010100111010110100110 (23 bits)
Octal 0o32472646
Hexadecimal 0x6A75A6

Divisor Catalog (8)

1 2 1,721 2,027 3,442 4,054 3,488,467 6,976,934

Collatz Trajectory (103 steps to reach 1)

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

6,976,934 3,488,467 10,465,402 5,232,701 15,698,104 7,849,052 3,924,526 1,962,263 5,886,790 2,943,395 8,830,186 4,415,093 13,245,280 6,622,640 3,311,320 1,655,660 827,830 413,915 1,241,746 620,873 1,862,620 931,310 465,655 1,396,966 698,483 2,095,450 1,047,725 3,143,176 1,571,588 785,794 392,897 1,178,692 589,346 294,673 884,020 442,010 221,005 663,016 331,508 165,754 82,877 248,632 124,316 62,158 31,079 93,238 46,619 139,858 69,929 209,788 104,894 52,447 157,342 78,671 236,014 118,007 354,022 177,011 531,034 265,517

More profiles

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