λ
Harmonic Matrix

6,958,367

13 × 137 × 3907
Deficient Odd Composite

6,958,367 has digital root 8. The neighboring primes are 6958363 and 6958379; its proper-divisor sum differs from the starting integer by -6,366,478.

Prime Factor Structure

Factorization String 13 × 137 × 3907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,550,256
Proper Divisor Sum 591,889
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6958363 ← → #6958379

Radix Representation

Decimal 6958367
Binary 11010100010110100011111 (23 bits)
Octal 0o32426437
Hexadecimal 0x6A2D1F

Divisor Catalog (8)

1 13 137 1,781 3,907 50,791 535,259 6,958,367

Collatz Trajectory (98 steps to reach 1)

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

6,958,367 20,875,102 10,437,551 31,312,654 15,656,327 46,968,982 23,484,491 70,453,474 35,226,737 105,680,212 52,840,106 26,420,053 79,260,160 39,630,080 19,815,040 9,907,520 4,953,760 2,476,880 1,238,440 619,220 309,610 154,805 464,416 232,208 116,104 58,052 29,026 14,513 43,540 21,770 10,885 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228

More profiles

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