1,697,948

2² × 7² × 8663

1,697,948 factors as 2^2 × 7^2 × 8663. Its 18 positive divisors give a proper-divisor sum of 1,758,988, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 8663

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 3,456,936

Proper Divisor Sum 1,758,988

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #1697903 ← → #1697953

Radix Representation

Decimal	1697948
Binary	110011110100010011100 (21 bits)
Octal	0o6364234
Hexadecimal	0x19E89C

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 8,663 17,326 34,652 60,641 121,282 242,564 424,487 848,974 1,697,948

Collatz Trajectory (251 steps to reach 1)

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

1,697,948 848,974 424,487 1,273,462 636,731 1,910,194 955,097 2,865,292 1,432,646 716,323 2,148,970 1,074,485 3,223,456 1,611,728 805,864 402,932 201,466 100,733 302,200 151,100 75,550 37,775 113,326 56,663 169,990 84,995 254,986 127,493 382,480 191,240 95,620 47,810 23,905 71,716 35,858 17,929 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636

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