5,189,379

3 × 13 × 271 × 491

Starting at 5,189,379, the Collatz iteration reaches 1 after 175 steps. The first transition is 15568138; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 271 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,494,144

Proper Divisor Sum 2,304,765

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5189377 ← → #5189399

Radix Representation

Decimal	5189379
Binary	10011110010111100000011 (23 bits)
Octal	0o23627403
Hexadecimal	0x4F2F03

Divisor Catalog (16)

1 3 13 39 271 491 813 1,473 3,523 6,383 10,569 19,149 133,061 399,183 1,729,793 5,189,379

Collatz Trajectory (175 steps to reach 1)

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

5,189,379 15,568,138 7,784,069 23,352,208 11,676,104 5,838,052 2,919,026 1,459,513 4,378,540 2,189,270 1,094,635 3,283,906 1,641,953 4,925,860 2,462,930 1,231,465 3,694,396 1,847,198 923,599 2,770,798 1,385,399 4,156,198 2,078,099 6,234,298 3,117,149 9,351,448 4,675,724 2,337,862 1,168,931 3,506,794 1,753,397 5,260,192 2,630,096 1,315,048 657,524 328,762 164,381 493,144 246,572 123,286 61,643 184,930 92,465 277,396 138,698 69,349 208,048 104,024 52,012 26,006 13,003 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486

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