7,636,257

3² × 848473

7,636,257 factors as 3^2 × 848473. Its 6 positive divisors give a proper-divisor sum of 3,393,905, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3^2 × 848473

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 11,030,162

Proper Divisor Sum 3,393,905

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7636229 ← → #7636267

Radix Representation

Decimal	7636257
Binary	11101001000010100100001 (23 bits)
Octal	0o35102441
Hexadecimal	0x748521

Divisor Catalog (6)

1 3 9 848,473 2,545,419 7,636,257

Collatz Trajectory (80 steps to reach 1)

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

7,636,257 22,908,772 11,454,386 5,727,193 17,181,580 8,590,790 4,295,395 12,886,186 6,443,093 19,329,280 9,664,640 4,832,320 2,416,160 1,208,080 604,040 302,020 151,010 75,505 226,516 113,258 56,629 169,888 84,944 42,472 21,236 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38

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