λ
Harmonic Matrix

6,375,940

22 × 5 × 29 × 10993
Abundant Even Composite

6,375,940 has digital root 7. The neighboring primes are 6375937 and 6375947; its proper-divisor sum differs from the starting integer by 1,100,560.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 10993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,852,440
Proper Divisor Sum 7,476,500
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6375937 ← → #6375947

Radix Representation

Decimal 6375940
Binary 11000010100101000000100 (23 bits)
Octal 0o30245004
Hexadecimal 0x614A04

Divisor Catalog (24)

1 2 4 5 10 20 29 58 116 145 290 580 10,993 21,986 43,972 54,965 109,930 219,860 318,797 637,594 1,275,188 1,593,985 3,187,970 6,375,940

Collatz Trajectory (232 steps to reach 1)

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

6,375,940 3,187,970 1,593,985 4,781,956 2,390,978 1,195,489 3,586,468 1,793,234 896,617 2,689,852 1,344,926 672,463 2,017,390 1,008,695 3,026,086 1,513,043 4,539,130 2,269,565 6,808,696 3,404,348 1,702,174 851,087 2,553,262 1,276,631 3,829,894 1,914,947 5,744,842 2,872,421 8,617,264 4,308,632 2,154,316 1,077,158 538,579 1,615,738 807,869 2,423,608 1,211,804 605,902 302,951 908,854 454,427 1,363,282 681,641 2,044,924 1,022,462 511,231 1,533,694 766,847 2,300,542 1,150,271 3,450,814 1,725,407 5,176,222 2,588,111 7,764,334 3,882,167 11,646,502 5,823,251 17,469,754 8,734,877

More profiles

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