λ
Harmonic Matrix

6,888,812

22 × 73 × 5021
Abundant Even Composite

6,888,812 has digital root 5. The neighboring primes are 6888809 and 6888829; its proper-divisor sum differs from the starting integer by 283,976.

Prime Factor Structure

Factorization String 2^2 × 7^3 × 5021
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,061,600
Proper Divisor Sum 7,172,788
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6888809 ← → #6888829

Radix Representation

Decimal 6888812
Binary 11010010001110101101100 (23 bits)
Octal 0o32216554
Hexadecimal 0x691D6C

Divisor Catalog (24)

1 2 4 7 14 28 49 98 196 343 686 1,372 5,021 10,042 20,084 35,147 70,294 140,588 246,029 492,058 984,116 1,722,203 3,444,406 6,888,812

Collatz Trajectory (178 steps to reach 1)

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

6,888,812 3,444,406 1,722,203 5,166,610 2,583,305 7,749,916 3,874,958 1,937,479 5,812,438 2,906,219 8,718,658 4,359,329 13,077,988 6,538,994 3,269,497 9,808,492 4,904,246 2,452,123 7,356,370 3,678,185 11,034,556 5,517,278 2,758,639 8,275,918 4,137,959 12,413,878 6,206,939 18,620,818 9,310,409 27,931,228 13,965,614 6,982,807 20,948,422 10,474,211 31,422,634 15,711,317 47,133,952 23,566,976 11,783,488 5,891,744 2,945,872 1,472,936 736,468 368,234 184,117 552,352 276,176 138,088 69,044 34,522 17,261 51,784 25,892 12,946 6,473 19,420 9,710 4,855 14,566 7,283

More profiles

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