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Atlas › Integer Profiles › Node 6,909,896

6,909,896

23 × 7 × 163 × 757
Abundant Even Composite

6,909,896 factors as 2^3 × 7 × 163 × 757. Its 32 positive divisors give a proper-divisor sum of 8,007,544, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 163 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,917,440
Proper Divisor Sum 8,007,544
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #6909887 ← → #6909899

Radix Representation

Decimal 6909896
Binary 11010010110111111001000 (23 bits)
Octal 0o32267710
Hexadecimal 0x696FC8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 163 326 652 757 1,141 1,304 1,514 2,282 3,028 4,564 5,299 6,056 9,128 10,598 21,196 42,392 123,391 246,782 493,564 863,737 987,128 1,727,474 3,454,948 6,909,896

Collatz Trajectory (191 steps to reach 1)

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

6,909,896 3,454,948 1,727,474 863,737 2,591,212 1,295,606 647,803 1,943,410 971,705 2,915,116 1,457,558 728,779 2,186,338 1,093,169 3,279,508 1,639,754 819,877 2,459,632 1,229,816 614,908 307,454 153,727 461,182 230,591 691,774 345,887 1,037,662 518,831 1,556,494 778,247 2,334,742 1,167,371 3,502,114 1,751,057 5,253,172 2,626,586 1,313,293 3,939,880 1,969,940 984,970 492,485 1,477,456 738,728 369,364 184,682 92,341 277,024 138,512 69,256 34,628 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306

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