λ
Harmonic Matrix

6,796,527

3 × 29 × 78121
Deficient Odd Composite

6,796,527 has digital root 6. The neighboring primes are 6796511 and 6796541; its proper-divisor sum differs from the starting integer by -4,218,414.

Prime Factor Structure

Factorization String 3 × 29 × 78121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,374,640
Proper Divisor Sum 2,578,113
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6796511 ← → #6796541

Radix Representation

Decimal 6796527
Binary 11001111011010011101111 (23 bits)
Octal 0o31732357
Hexadecimal 0x67B4EF

Divisor Catalog (8)

1 3 29 87 78,121 234,363 2,265,509 6,796,527

Collatz Trajectory (209 steps to reach 1)

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

6,796,527 20,389,582 10,194,791 30,584,374 15,292,187 45,876,562 22,938,281 68,814,844 34,407,422 17,203,711 51,611,134 25,805,567 77,416,702 38,708,351 116,125,054 58,062,527 174,187,582 87,093,791 261,281,374 130,640,687 391,922,062 195,961,031 587,883,094 293,941,547 881,824,642 440,912,321 1,322,736,964 661,368,482 330,684,241 992,052,724 496,026,362 248,013,181 744,039,544 372,019,772 186,009,886 93,004,943 279,014,830 139,507,415 418,522,246 209,261,123 627,783,370 313,891,685 941,675,056 470,837,528 235,418,764 117,709,382 58,854,691 176,564,074 88,282,037 264,846,112 132,423,056 66,211,528 33,105,764 16,552,882 8,276,441 24,829,324 12,414,662 6,207,331 18,621,994 9,310,997

More profiles

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