8,437,849

7² × 23 × 7487

8,437,849 is odd and not a perfect square. Its factorization is 7^2 × 23 × 7487 and its 12 divisors sum to 10,243,584.

Prime Factor Structure

Factorization String 7^2 × 23 × 7487

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,243,584

Proper Divisor Sum 1,805,735

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8437837 ← → #8437861

Radix Representation

Decimal	8437849
Binary	100000001100000001011001 (24 bits)
Octal	0o40140131
Hexadecimal	0x80C059

Divisor Catalog (12)

1 7 23 49 161 1,127 7,487 52,409 172,201 366,863 1,205,407 8,437,849

Collatz Trajectory (155 steps to reach 1)

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

8,437,849 25,313,548 12,656,774 6,328,387 18,985,162 9,492,581 28,477,744 14,238,872 7,119,436 3,559,718 1,779,859 5,339,578 2,669,789 8,009,368 4,004,684 2,002,342 1,001,171 3,003,514 1,501,757 4,505,272 2,252,636 1,126,318 563,159 1,689,478 844,739 2,534,218 1,267,109 3,801,328 1,900,664 950,332 475,166 237,583 712,750 356,375 1,069,126 534,563 1,603,690 801,845 2,405,536 1,202,768 601,384 300,692 150,346 75,173 225,520 112,760 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920

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