8,337,471

3 × 29 × 47 × 2039

8,337,471 has digital root 6. The neighboring primes are 8337457 and 8337491; its proper-divisor sum differs from the starting integer by -4,924,542.

Prime Factor Structure

Factorization String 3 × 29 × 47 × 2039

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,750,400

Proper Divisor Sum 3,412,929

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8337457 ← → #8337491

Radix Representation

Decimal	8337471
Binary	11111110011100000111111 (23 bits)
Octal	0o37634077
Hexadecimal	0x7F383F

Divisor Catalog (16)

1 3 29 47 87 141 1,363 2,039 4,089 6,117 59,131 95,833 177,393 287,499 2,779,157 8,337,471

Collatz Trajectory (111 steps to reach 1)

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

8,337,471 25,012,414 12,506,207 37,518,622 18,759,311 56,277,934 28,138,967 84,416,902 42,208,451 126,625,354 63,312,677 189,938,032 94,969,016 47,484,508 23,742,254 11,871,127 35,613,382 17,806,691 53,420,074 26,710,037 80,130,112 40,065,056 20,032,528 10,016,264 5,008,132 2,504,066 1,252,033 3,756,100 1,878,050 939,025 2,817,076 1,408,538 704,269 2,112,808 1,056,404 528,202 264,101 792,304 396,152 198,076 99,038 49,519 148,558 74,279 222,838 111,419 334,258 167,129 501,388 250,694 125,347 376,042 188,021 564,064 282,032 141,016 70,508 35,254 17,627 52,882

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