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Atlas › Integer Profiles › Node 16,698,656

16,698,656

25 × 13 × 137 × 293
Abundant Even Composite

16,698,656 factors as 2^5 × 13 × 137 × 293. Its 48 positive divisors give a proper-divisor sum of 19,085,848, so this integer is abundant. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 137 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 35,784,504
Proper Divisor Sum 19,085,848
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #16698653 ← → #16698679

Radix Representation

Decimal 16698656
Binary 111111101100110100100000 (24 bits)
Octal 0o77546440
Hexadecimal 0xFECD20

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 104 137 208 274 293 416 548 586 1,096 1,172 1,781 2,192 2,344 3,562 3,809 4,384 4,688 7,124 7,618 9,376 14,248 15,236 28,496 30,472 40,141 56,992 60,944 80,282 121,888 160,564 321,128 521,833 642,256 1,043,666 1,284,512 2,087,332 4,174,664 8,349,328 16,698,656

Collatz Trajectory (231 steps to reach 1)

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

16,698,656 8,349,328 4,174,664 2,087,332 1,043,666 521,833 1,565,500 782,750 391,375 1,174,126 587,063 1,761,190 880,595 2,641,786 1,320,893 3,962,680 1,981,340 990,670 495,335 1,486,006 743,003 2,229,010 1,114,505 3,343,516 1,671,758 835,879 2,507,638 1,253,819 3,761,458 1,880,729 5,642,188 2,821,094 1,410,547 4,231,642 2,115,821 6,347,464 3,173,732 1,586,866 793,433 2,380,300 1,190,150 595,075 1,785,226 892,613 2,677,840 1,338,920 669,460 334,730 167,365 502,096 251,048 125,524 62,762 31,381 94,144 47,072 23,536 11,768 5,884 2,942

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