3,712,174

2 × 29² × 2207

3,712,174 has the prime decomposition 2 × 29^2 × 2207. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 29^2 × 2207

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,769,504

Proper Divisor Sum 2,057,330

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3712169 ← → #3712187

Radix Representation

Decimal	3712174
Binary	1110001010010010101110 (22 bits)
Octal	0o16122256
Hexadecimal	0x38A4AE

Divisor Catalog (12)

1 2 29 58 841 1,682 2,207 4,414 64,003 128,006 1,856,087 3,712,174

Collatz Trajectory (172 steps to reach 1)

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

3,712,174 1,856,087 5,568,262 2,784,131 8,352,394 4,176,197 12,528,592 6,264,296 3,132,148 1,566,074 783,037 2,349,112 1,174,556 587,278 293,639 880,918 440,459 1,321,378 660,689 1,982,068 991,034 495,517 1,486,552 743,276 371,638 185,819 557,458 278,729 836,188 418,094 209,047 627,142 313,571 940,714 470,357 1,411,072 705,536 352,768 176,384 88,192 44,096 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110

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