7,737,136

2⁴ × 11 × 43961

7,737,136 factors as 2^4 × 11 × 43961. Its 20 positive divisors give a proper-divisor sum of 8,616,728, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 43961

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,353,864

Proper Divisor Sum 8,616,728

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7737101 ← → #7737137

Radix Representation

Decimal	7737136
Binary	11101100000111100110000 (23 bits)
Octal	0o35407460
Hexadecimal	0x760F30

Divisor Catalog (20)

Collatz Trajectory (111 steps to reach 1)

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

7,737,136 3,868,568 1,934,284 967,142 483,571 1,450,714 725,357 2,176,072 1,088,036 544,018 272,009 816,028 408,014 204,007 612,022 306,011 918,034 459,017 1,377,052 688,526 344,263 1,032,790 516,395 1,549,186 774,593 2,323,780 1,161,890 580,945 1,742,836 871,418 435,709 1,307,128 653,564 326,782 163,391 490,174 245,087 735,262 367,631 1,102,894 551,447 1,654,342 827,171 2,481,514 1,240,757 3,722,272 1,861,136 930,568 465,284 232,642 116,321 348,964 174,482 87,241 261,724 130,862 65,431 196,294 98,147 294,442

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