6,562,944

2⁷ × 3⁵ × 211

6,562,944 factors as 2^7 × 3^5 × 211. Its 96 positive divisors give a proper-divisor sum of 13,114,896, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^7 × 3^5 × 211

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,677,840

Proper Divisor Sum 13,114,896

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6562943 ← → #6562973

Radix Representation

Decimal	6562944
Binary	11001000010010010000000 (23 bits)
Octal	0o31022200
Hexadecimal	0x642480

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 211 216 243 288 324 384 422 432 486 576 633 648 844 864 972 1,152 1,266 1,296 1,688 1,728 1,899 1,944 2,532 2,592 3,376 3,456 3,798 3,888 5,064 5,184 5,697 6,752 7,596 7,776 10,128

Collatz Trajectory (170 steps to reach 1)

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

6,562,944 3,281,472 1,640,736 820,368 410,184 205,092 102,546 51,273 153,820 76,910 38,455 115,366 57,683 173,050 86,525 259,576 129,788 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674 49,337 148,012 74,006 37,003 111,010 55,505 166,516 83,258 41,629

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