6,955,182

2 × 3² × 13 × 29723

6,955,182 factors as 2 × 3^2 × 13 × 29723. Its 24 positive divisors give a proper-divisor sum of 9,274,122, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 29723

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,229,304

Proper Divisor Sum 9,274,122

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6955153 ← → #6955187

Radix Representation

Decimal	6955182
Binary	11010100010000010101110 (23 bits)
Octal	0o32420256
Hexadecimal	0x6A20AE

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 29,723 59,446 89,169 178,338 267,507 386,399 535,014 772,798 1,159,197 2,318,394 3,477,591 6,955,182

Collatz Trajectory (160 steps to reach 1)

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

6,955,182 3,477,591 10,432,774 5,216,387 15,649,162 7,824,581 23,473,744 11,736,872 5,868,436 2,934,218 1,467,109 4,401,328 2,200,664 1,100,332 550,166 275,083 825,250 412,625 1,237,876 618,938 309,469 928,408 464,204 232,102 116,051 348,154 174,077 522,232 261,116 130,558 65,279 195,838 97,919 293,758 146,879 440,638 220,319 660,958 330,479 991,438 495,719 1,487,158 743,579 2,230,738 1,115,369 3,346,108 1,673,054 836,527 2,509,582 1,254,791 3,764,374 1,882,187 5,646,562 2,823,281 8,469,844 4,234,922 2,117,461 6,352,384 3,176,192 1,588,096

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