8,336,877

3 × 19 × 37 × 59 × 67

8,336,877 factors as 3 × 19 × 37 × 59 × 67. Its 32 positive divisors give a proper-divisor sum of 4,066,323, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3 × 19 × 37 × 59 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,403,200

Proper Divisor Sum 4,066,323

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8336873 ← → #8336893

Radix Representation

Decimal	8336877
Binary	11111110011010111101101 (23 bits)
Octal	0o37632755
Hexadecimal	0x7F35ED

Divisor Catalog (32)

1 3 19 37 57 59 67 111 177 201 703 1,121 1,273 2,109 2,183 2,479 3,363 3,819 3,953 6,549 7,437 11,859 41,477 47,101 75,107 124,431 141,303 146,261 225,321 438,783 2,778,959 8,336,877

Collatz Trajectory (106 steps to reach 1)

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

8,336,877 25,010,632 12,505,316 6,252,658 3,126,329 9,378,988 4,689,494 2,344,747 7,034,242 3,517,121 10,551,364 5,275,682 2,637,841 7,913,524 3,956,762 1,978,381 5,935,144 2,967,572 1,483,786 741,893 2,225,680 1,112,840 556,420 278,210 139,105 417,316 208,658 104,329 312,988 156,494 78,247 234,742 117,371 352,114 176,057 528,172 264,086 132,043 396,130 198,065 594,196 297,098 148,549 445,648 222,824 111,412 55,706 27,853 83,560 41,780 20,890 10,445 31,336 15,668 7,834 3,917 11,752 5,876 2,938 1,469

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