3,437,250

2 × 3 × 5³ × 4583

3,437,250 has the prime decomposition 2 × 3 × 5^3 × 4583. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 4583

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,581,248

Proper Divisor Sum 5,143,998

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3437243 ← → #3437257

Radix Representation

Decimal	3437250
Binary	1101000111001011000010 (22 bits)
Octal	0o15071302
Hexadecimal	0x3472C2

Divisor Catalog (32)

1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 4,583 9,166 13,749 22,915 27,498 45,830 68,745 114,575 137,490 229,150 343,725 572,875 687,450 1,145,750 1,718,625 3,437,250

Collatz Trajectory (159 steps to reach 1)

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

3,437,250 1,718,625 5,155,876 2,577,938 1,288,969 3,866,908 1,933,454 966,727 2,900,182 1,450,091 4,350,274 2,175,137 6,525,412 3,262,706 1,631,353 4,894,060 2,447,030 1,223,515 3,670,546 1,835,273 5,505,820 2,752,910 1,376,455 4,129,366 2,064,683 6,194,050 3,097,025 9,291,076 4,645,538 2,322,769 6,968,308 3,484,154 1,742,077 5,226,232 2,613,116 1,306,558 653,279 1,959,838 979,919 2,939,758 1,469,879 4,409,638 2,204,819 6,614,458 3,307,229 9,921,688 4,960,844 2,480,422 1,240,211 3,720,634 1,860,317 5,580,952 2,790,476 1,395,238 697,619 2,092,858 1,046,429 3,139,288 1,569,644 784,822

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