6,506,444

2² × 7 × 17 × 13669

6,506,444 factors as 2^2 × 7 × 17 × 13669. Its 24 positive divisors give a proper-divisor sum of 7,272,916, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 13669

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,779,360

Proper Divisor Sum 7,272,916

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6506441 ← → #6506473

Radix Representation

Decimal	6506444
Binary	11000110100011111001100 (23 bits)
Octal	0o30643714
Hexadecimal	0x6347CC

Divisor Catalog (24)

Collatz Trajectory (209 steps to reach 1)

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

6,506,444 3,253,222 1,626,611 4,879,834 2,439,917 7,319,752 3,659,876 1,829,938 914,969 2,744,908 1,372,454 686,227 2,058,682 1,029,341 3,088,024 1,544,012 772,006 386,003 1,158,010 579,005 1,737,016 868,508 434,254 217,127 651,382 325,691 977,074 488,537 1,465,612 732,806 366,403 1,099,210 549,605 1,648,816 824,408 412,204 206,102 103,051 309,154 154,577 463,732 231,866 115,933 347,800 173,900 86,950 43,475 130,426 65,213 195,640 97,820 48,910 24,455 73,366 36,683 110,050 55,025 165,076 82,538 41,269

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