λ
Harmonic Matrix

7,086,856

23 × 7 × 126551
Abundant Even Composite

7,086,856 has digital root 4. The neighboring primes are 7086839 and 7086881; its proper-divisor sum differs from the starting integer by 1,012,528.

Prime Factor Structure

Factorization String 2^3 × 7 × 126551
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,186,240
Proper Divisor Sum 8,099,384
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7086839 ← → #7086881

Radix Representation

Decimal 7086856
Binary 11011000010001100001000 (23 bits)
Octal 0o33021410
Hexadecimal 0x6C2308

Divisor Catalog (16)

1 2 4 7 8 14 28 56 126,551 253,102 506,204 885,857 1,012,408 1,771,714 3,543,428 7,086,856

Collatz Trajectory (235 steps to reach 1)

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

7,086,856 3,543,428 1,771,714 885,857 2,657,572 1,328,786 664,393 1,993,180 996,590 498,295 1,494,886 747,443 2,242,330 1,121,165 3,363,496 1,681,748 840,874 420,437 1,261,312 630,656 315,328 157,664 78,832 39,416 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496

More profiles

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