7,347,171

3 × 13 × 188389

Starting at 7,347,171, the Collatz iteration reaches 1 after 116 steps. The first transition is 22041514; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 188389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,549,840

Proper Divisor Sum 3,202,669

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7347169 ← → #7347187

Radix Representation

Decimal	7347171
Binary	11100000001101111100011 (23 bits)
Octal	0o34015743
Hexadecimal	0x701BE3

Divisor Catalog (8)

1 3 13 39 188,389 565,167 2,449,057 7,347,171

Collatz Trajectory (116 steps to reach 1)

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

7,347,171 22,041,514 11,020,757 33,062,272 16,531,136 8,265,568 4,132,784 2,066,392 1,033,196 516,598 258,299 774,898 387,449 1,162,348 581,174 290,587 871,762 435,881 1,307,644 653,822 326,911 980,734 490,367 1,471,102 735,551 2,206,654 1,103,327 3,309,982 1,654,991 4,964,974 2,482,487 7,447,462 3,723,731 11,171,194 5,585,597 16,756,792 8,378,396 4,189,198 2,094,599 6,283,798 3,141,899 9,425,698 4,712,849 14,138,548 7,069,274 3,534,637 10,603,912 5,301,956 2,650,978 1,325,489 3,976,468 1,988,234 994,117 2,982,352 1,491,176 745,588 372,794 186,397 559,192 279,596

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