λ
Harmonic Matrix

6,957,316

22 × 23 × 47 × 1609
Deficient Even Composite

6,957,316 has digital root 1. The neighboring primes are 6957311 and 6957317; its proper-divisor sum differs from the starting integer by -931,592.

Prime Factor Structure

Factorization String 2^2 × 23 × 47 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,983,040
Proper Divisor Sum 6,025,724
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6957311 ← → #6957317

Radix Representation

Decimal 6957316
Binary 11010100010100100000100 (23 bits)
Octal 0o32424404
Hexadecimal 0x6A2904

Divisor Catalog (24)

1 2 4 23 46 47 92 94 188 1,081 1,609 2,162 3,218 4,324 6,436 37,007 74,014 75,623 148,028 151,246 302,492 1,739,329 3,478,658 6,957,316

Collatz Trajectory (85 steps to reach 1)

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

6,957,316 3,478,658 1,739,329 5,217,988 2,608,994 1,304,497 3,913,492 1,956,746 978,373 2,935,120 1,467,560 733,780 366,890 183,445 550,336 275,168 137,584 68,792 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205

More profiles

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