λ
Harmonic Matrix

7,040,751

3 × 31 × 75707
Deficient Odd Composite

7,040,751 has digital root 6. The neighboring primes are 7040749 and 7040791; its proper-divisor sum differs from the starting integer by -4,390,878.

Prime Factor Structure

Factorization String 3 × 31 × 75707
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,690,624
Proper Divisor Sum 2,649,873
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7040749 ← → #7040791

Radix Representation

Decimal 7040751
Binary 11010110110111011101111 (23 bits)
Octal 0o32667357
Hexadecimal 0x6B6EEF

Divisor Catalog (8)

1 3 31 93 75,707 227,121 2,346,917 7,040,751

Collatz Trajectory (191 steps to reach 1)

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

7,040,751 21,122,254 10,561,127 31,683,382 15,841,691 47,525,074 23,762,537 71,287,612 35,643,806 17,821,903 53,465,710 26,732,855 80,198,566 40,099,283 120,297,850 60,148,925 180,446,776 90,223,388 45,111,694 22,555,847 67,667,542 33,833,771 101,501,314 50,750,657 152,251,972 76,125,986 38,062,993 114,188,980 57,094,490 28,547,245 85,641,736 42,820,868 21,410,434 10,705,217 32,115,652 16,057,826 8,028,913 24,086,740 12,043,370 6,021,685 18,065,056 9,032,528 4,516,264 2,258,132 1,129,066 564,533 1,693,600 846,800 423,400 211,700 105,850 52,925 158,776 79,388 39,694 19,847 59,542 29,771 89,314 44,657

More profiles

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