6,435,376

2⁴ × 19 × 21169

6,435,376 factors as 2^4 × 19 × 21169. Its 20 positive divisors give a proper-divisor sum of 6,690,024, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 21169

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,125,400

Proper Divisor Sum 6,690,024

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6435371 ← → #6435379

Radix Representation

Decimal	6435376
Binary	11000100011001000110000 (23 bits)
Octal	0o30431060
Hexadecimal	0x623230

Divisor Catalog (20)

Collatz Trajectory (165 steps to reach 1)

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

6,435,376 3,217,688 1,608,844 804,422 402,211 1,206,634 603,317 1,809,952 904,976 452,488 226,244 113,122 56,561 169,684 84,842 42,421 127,264 63,632 31,816 15,908 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136

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