λ
Harmonic Matrix

6,751,962

2 × 32 × 7 × 41 × 1307
Abundant Even Composite

6,751,962 has digital root 9. The neighboring primes are 6751957 and 6751963; its proper-divisor sum differs from the starting integer by 3,636,108.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 41 × 1307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,140,032
Proper Divisor Sum 10,388,070
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6751957 ← → #6751963

Radix Representation

Decimal 6751962
Binary 11001110000011011011010 (23 bits)
Octal 0o31603332
Hexadecimal 0x6706DA

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1,307 1,722 2,583 2,614 3,921 5,166 7,842 9,149 11,763 18,298 23,526 27,447 53,587 54,894 82,341 107,174 160,761 164,682 321,522 375,109 482,283 750,218 964,566 1,125,327 2,250,654 3,375,981 6,751,962

Collatz Trajectory (85 steps to reach 1)

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

6,751,962 3,375,981 10,127,944 5,063,972 2,531,986 1,265,993 3,797,980 1,898,990 949,495 2,848,486 1,424,243 4,272,730 2,136,365 6,409,096 3,204,548 1,602,274 801,137 2,403,412 1,201,706 600,853 1,802,560 901,280 450,640 225,320 112,660 56,330 28,165 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192

More profiles

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