3,137,591

23 × 136417

3,137,591 factors as 23 × 136417. Its 4 positive divisors give a proper-divisor sum of 136,441, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 23 × 136417

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,274,032

Proper Divisor Sum 136,441

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3137573 ← → #3137593

Radix Representation

Decimal	3137591
Binary	1011111110000000110111 (22 bits)
Octal	0o13760067
Hexadecimal	0x2FE037

Divisor Catalog (4)

1 23 136,417 3,137,591

Collatz Trajectory (133 steps to reach 1)

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

3,137,591 9,412,774 4,706,387 14,119,162 7,059,581 21,178,744 10,589,372 5,294,686 2,647,343 7,942,030 3,971,015 11,913,046 5,956,523 17,869,570 8,934,785 26,804,356 13,402,178 6,701,089 20,103,268 10,051,634 5,025,817 15,077,452 7,538,726 3,769,363 11,308,090 5,654,045 16,962,136 8,481,068 4,240,534 2,120,267 6,360,802 3,180,401 9,541,204 4,770,602 2,385,301 7,155,904 3,577,952 1,788,976 894,488 447,244 223,622 111,811 335,434 167,717 503,152 251,576 125,788 62,894 31,447 94,342 47,171 141,514 70,757 212,272 106,136 53,068 26,534 13,267 39,802 19,901

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