λ
Harmonic Matrix

6,187,438

2 × 79 × 39161
Deficient Even Composite

6,187,438 has digital root 1. The neighboring primes are 6187427 and 6187451; its proper-divisor sum differs from the starting integer by -2,975,996.

Prime Factor Structure

Factorization String 2 × 79 × 39161
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,398,880
Proper Divisor Sum 3,211,442
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6187427 ← → #6187451

Radix Representation

Decimal 6187438
Binary 10111100110100110101110 (23 bits)
Octal 0o27464656
Hexadecimal 0x5E69AE

Divisor Catalog (8)

1 2 79 158 39,161 78,322 3,093,719 6,187,438

Collatz Trajectory (103 steps to reach 1)

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

6,187,438 3,093,719 9,281,158 4,640,579 13,921,738 6,960,869 20,882,608 10,441,304 5,220,652 2,610,326 1,305,163 3,915,490 1,957,745 5,873,236 2,936,618 1,468,309 4,404,928 2,202,464 1,101,232 550,616 275,308 137,654 68,827 206,482 103,241 309,724 154,862 77,431 232,294 116,147 348,442 174,221 522,664 261,332 130,666 65,333 196,000 98,000 49,000 24,500 12,250 6,125 18,376 9,188 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

More profiles

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