3,386,906

2 × 37² × 1237

3,386,906 factors as 2 × 37^2 × 1237. Its 12 positive divisors give a proper-divisor sum of 1,838,692, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2 × 37^2 × 1237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,225,598

Proper Divisor Sum 1,838,692

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3386899 ← → #3386909

Radix Representation

Decimal	3386906
Binary	1100111010111000011010 (22 bits)
Octal	0o14727032
Hexadecimal	0x33AE1A

Divisor Catalog (12)

1 2 37 74 1,237 1,369 2,474 2,738 45,769 91,538 1,693,453 3,386,906

Collatz Trajectory (84 steps to reach 1)

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

3,386,906 1,693,453 5,080,360 2,540,180 1,270,090 635,045 1,905,136 952,568 476,284 238,142 119,071 357,214 178,607 535,822 267,911 803,734 401,867 1,205,602 602,801 1,808,404 904,202 452,101 1,356,304 678,152 339,076 169,538 84,769 254,308 127,154 63,577 190,732 95,366 47,683 143,050 71,525 214,576 107,288 53,644 26,822 13,411 40,234 20,117 60,352 30,176 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584

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