8,590,414

2 × 7 × 379 × 1619

8,590,414 factors as 2 × 7 × 379 × 1619. Its 16 positive divisors give a proper-divisor sum of 6,183,986, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 7 × 379 × 1619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,774,400

Proper Divisor Sum 6,183,986

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8590391 ← → #8590427

Radix Representation

Decimal	8590414
Binary	100000110001010001001110 (24 bits)
Octal	0o40612116
Hexadecimal	0x83144E

Divisor Catalog (16)

1 2 7 14 379 758 1,619 2,653 3,238 5,306 11,333 22,666 613,601 1,227,202 4,295,207 8,590,414

Collatz Trajectory (155 steps to reach 1)

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

8,590,414 4,295,207 12,885,622 6,442,811 19,328,434 9,664,217 28,992,652 14,496,326 7,248,163 21,744,490 10,872,245 32,616,736 16,308,368 8,154,184 4,077,092 2,038,546 1,019,273 3,057,820 1,528,910 764,455 2,293,366 1,146,683 3,440,050 1,720,025 5,160,076 2,580,038 1,290,019 3,870,058 1,935,029 5,805,088 2,902,544 1,451,272 725,636 362,818 181,409 544,228 272,114 136,057 408,172 204,086 102,043 306,130 153,065 459,196 229,598 114,799 344,398 172,199 516,598 258,299 774,898 387,449 1,162,348 581,174 290,587 871,762 435,881 1,307,644 653,822 326,911

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