λ
Harmonic Matrix

6,372,195

3 × 5 × 17 × 24989
Deficient Odd Composite

6,372,195 has digital root 6. The neighboring primes are 6372193 and 6372211; its proper-divisor sum differs from the starting integer by -1,948,710.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 24989
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,795,680
Proper Divisor Sum 4,423,485
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6372193 ← → #6372211

Radix Representation

Decimal 6372195
Binary 11000010011101101100011 (23 bits)
Octal 0o30235543
Hexadecimal 0x613B63

Divisor Catalog (16)

1 3 5 15 17 51 85 255 24,989 74,967 124,945 374,835 424,813 1,274,439 2,124,065 6,372,195

Collatz Trajectory (165 steps to reach 1)

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

6,372,195 19,116,586 9,558,293 28,674,880 14,337,440 7,168,720 3,584,360 1,792,180 896,090 448,045 1,344,136 672,068 336,034 168,017 504,052 252,026 126,013 378,040 189,020 94,510 47,255 141,766 70,883 212,650 106,325 318,976 159,488 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188

More profiles

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