8,146,137

3 × 797 × 3407

8,146,137 has digital root 3. The neighboring primes are 8146133 and 8146169; its proper-divisor sum differs from the starting integer by -5,413,938.

Prime Factor Structure

Factorization String 3 × 797 × 3407

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,878,336

Proper Divisor Sum 2,732,199

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8146133 ← → #8146169

Radix Representation

Decimal	8146137
Binary	11111000100110011011001 (23 bits)
Octal	0o37046331
Hexadecimal	0x7C4CD9

Divisor Catalog (8)

1 3 797 2,391 3,407 10,221 2,715,379 8,146,137

Collatz Trajectory (230 steps to reach 1)

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

8,146,137 24,438,412 12,219,206 6,109,603 18,328,810 9,164,405 27,493,216 13,746,608 6,873,304 3,436,652 1,718,326 859,163 2,577,490 1,288,745 3,866,236 1,933,118 966,559 2,899,678 1,449,839 4,349,518 2,174,759 6,524,278 3,262,139 9,786,418 4,893,209 14,679,628 7,339,814 3,669,907 11,009,722 5,504,861 16,514,584 8,257,292 4,128,646 2,064,323 6,192,970 3,096,485 9,289,456 4,644,728 2,322,364 1,161,182 580,591 1,741,774 870,887 2,612,662 1,306,331 3,918,994 1,959,497 5,878,492 2,939,246 1,469,623 4,408,870 2,204,435 6,613,306 3,306,653 9,919,960 4,959,980 2,479,990 1,239,995 3,719,986 1,859,993

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