λ
Harmonic Matrix

6,131,643

3 × 7 × 291983
Deficient Odd Composite

6,131,643 has digital root 6. The neighboring primes are 6131641 and 6131651; its proper-divisor sum differs from the starting integer by -2,919,798.

Prime Factor Structure

Factorization String 3 × 7 × 291983
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,343,488
Proper Divisor Sum 3,211,845
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6131641 ← → #6131651

Radix Representation

Decimal 6131643
Binary 10111011000111110111011 (23 bits)
Octal 0o27307673
Hexadecimal 0x5D8FBB

Divisor Catalog (8)

1 3 7 21 291,983 875,949 2,043,881 6,131,643

Collatz Trajectory (196 steps to reach 1)

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

6,131,643 18,394,930 9,197,465 27,592,396 13,796,198 6,898,099 20,694,298 10,347,149 31,041,448 15,520,724 7,760,362 3,880,181 11,640,544 5,820,272 2,910,136 1,455,068 727,534 363,767 1,091,302 545,651 1,636,954 818,477 2,455,432 1,227,716 613,858 306,929 920,788 460,394 230,197 690,592 345,296 172,648 86,324 43,162 21,581 64,744 32,372 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081

More profiles

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