λ
Harmonic Matrix

8,696,646

2 × 34 × 7 × 7669
Abundant Even Composite

8,696,646 has digital root 9. The neighboring primes are 8696629 and 8696651; its proper-divisor sum differs from the starting integer by 4,880,388.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 7669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,273,680
Proper Divisor Sum 13,577,034
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8696629 ← → #8696651

Radix Representation

Decimal 8696646
Binary 100001001011001101000110 (24 bits)
Octal 0o41131506
Hexadecimal 0x84B346

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 7,669 15,338 23,007 46,014 53,683 69,021 107,366 138,042 161,049 207,063 322,098 414,126 483,147 621,189 966,294 1,242,378 1,449,441 2,898,882 4,348,323 8,696,646

Collatz Trajectory (67 steps to reach 1)

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

8,696,646 4,348,323 13,044,970 6,522,485 19,567,456 9,783,728 4,891,864 2,445,932 1,222,966 611,483 1,834,450 917,225 2,751,676 1,375,838 687,919 2,063,758 1,031,879 3,095,638 1,547,819 4,643,458 2,321,729 6,965,188 3,482,594 1,741,297 5,223,892 2,611,946 1,305,973 3,917,920 1,958,960 979,480 489,740 244,870 122,435 367,306 183,653 550,960 275,480 137,740 68,870 34,435 103,306 51,653 154,960 77,480 38,740 19,370 9,685 29,056 14,528 7,264 3,632 1,816 908 454 227 682 341 1,024 512 256

More profiles

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