λ
Harmonic Matrix

6,136,998

2 × 3 × 7 × 23 × 6353
Abundant Even Composite

6,136,998 has digital root 6. The neighboring primes are 6136997 and 6137011; its proper-divisor sum differs from the starting integer by 2,365,620.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 6353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,639,616
Proper Divisor Sum 8,502,618
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6136997 ← → #6137011

Radix Representation

Decimal 6136998
Binary 10111011010010010100110 (23 bits)
Octal 0o27322246
Hexadecimal 0x5DA4A6

Divisor Catalog (32)

1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 6,353 12,706 19,059 38,118 44,471 88,942 133,413 146,119 266,826 292,238 438,357 876,714 1,022,833 2,045,666 3,068,499 6,136,998

Collatz Trajectory (227 steps to reach 1)

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

6,136,998 3,068,499 9,205,498 4,602,749 13,808,248 6,904,124 3,452,062 1,726,031 5,178,094 2,589,047 7,767,142 3,883,571 11,650,714 5,825,357 17,476,072 8,738,036 4,369,018 2,184,509 6,553,528 3,276,764 1,638,382 819,191 2,457,574 1,228,787 3,686,362 1,843,181 5,529,544 2,764,772 1,382,386 691,193 2,073,580 1,036,790 518,395 1,555,186 777,593 2,332,780 1,166,390 583,195 1,749,586 874,793 2,624,380 1,312,190 656,095 1,968,286 984,143 2,952,430 1,476,215 4,428,646 2,214,323 6,642,970 3,321,485 9,964,456 4,982,228 2,491,114 1,245,557 3,736,672 1,868,336 934,168 467,084 233,542

More profiles

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