λ
Harmonic Matrix

6,961,438

2 × 11 × 316429
Deficient Even Composite

6,961,438 has digital root 1. The neighboring primes are 6961417 and 6961447; its proper-divisor sum differs from the starting integer by -2,531,396.

Prime Factor Structure

Factorization String 2 × 11 × 316429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,391,480
Proper Divisor Sum 4,430,042
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6961417 ← → #6961447

Radix Representation

Decimal 6961438
Binary 11010100011100100011110 (23 bits)
Octal 0o32434436
Hexadecimal 0x6A391E

Divisor Catalog (8)

1 2 11 22 316,429 632,858 3,480,719 6,961,438

Collatz Trajectory (191 steps to reach 1)

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

6,961,438 3,480,719 10,442,158 5,221,079 15,663,238 7,831,619 23,494,858 11,747,429 35,242,288 17,621,144 8,810,572 4,405,286 2,202,643 6,607,930 3,303,965 9,911,896 4,955,948 2,477,974 1,238,987 3,716,962 1,858,481 5,575,444 2,787,722 1,393,861 4,181,584 2,090,792 1,045,396 522,698 261,349 784,048 392,024 196,012 98,006 49,003 147,010 73,505 220,516 110,258 55,129 165,388 82,694 41,347 124,042 62,021 186,064 93,032 46,516 23,258 11,629 34,888 17,444 8,722 4,361 13,084 6,542 3,271 9,814 4,907 14,722 7,361

More profiles

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