6,465,872

2⁴ × 7 × 57731

6,465,872 factors as 2^4 × 7 × 57731. Its 20 positive divisors give a proper-divisor sum of 7,851,664, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 57731

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,317,536

Proper Divisor Sum 7,851,664

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6465859 ← → #6465883

Radix Representation

Decimal	6465872
Binary	11000101010100101010000 (23 bits)
Octal	0o30524520
Hexadecimal	0x62A950

Divisor Catalog (20)

Collatz Trajectory (240 steps to reach 1)

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

6,465,872 3,232,936 1,616,468 808,234 404,117 1,212,352 606,176 303,088 151,544 75,772 37,886 18,943 56,830 28,415 85,246 42,623 127,870 63,935 191,806 95,903 287,710 143,855 431,566 215,783 647,350 323,675 971,026 485,513 1,456,540 728,270 364,135 1,092,406 546,203 1,638,610 819,305 2,457,916 1,228,958 614,479 1,843,438 921,719 2,765,158 1,382,579 4,147,738 2,073,869 6,221,608 3,110,804 1,555,402 777,701 2,333,104 1,166,552 583,276 291,638 145,819 437,458 218,729 656,188 328,094 164,047 492,142 246,071

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