5,132,638

2 × 7 × 197 × 1861

Starting at 5,132,638, the Collatz iteration reaches 1 after 219 steps. The first transition is 2566319; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 197 × 1861

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,848,224

Proper Divisor Sum 3,715,586

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5132629 ← → #5132653

Radix Representation

Decimal	5132638
Binary	10011100101000101011110 (23 bits)
Octal	0o23450536
Hexadecimal	0x4E515E

Divisor Catalog (16)

1 2 7 14 197 394 1,379 1,861 2,758 3,722 13,027 26,054 366,617 733,234 2,566,319 5,132,638

Collatz Trajectory (219 steps to reach 1)

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

5,132,638 2,566,319 7,698,958 3,849,479 11,548,438 5,774,219 17,322,658 8,661,329 25,983,988 12,991,994 6,495,997 19,487,992 9,743,996 4,871,998 2,435,999 7,307,998 3,653,999 10,961,998 5,480,999 16,442,998 8,221,499 24,664,498 12,332,249 36,996,748 18,498,374 9,249,187 27,747,562 13,873,781 41,621,344 20,810,672 10,405,336 5,202,668 2,601,334 1,300,667 3,902,002 1,951,001 5,853,004 2,926,502 1,463,251 4,389,754 2,194,877 6,584,632 3,292,316 1,646,158 823,079 2,469,238 1,234,619 3,703,858 1,851,929 5,555,788 2,777,894 1,388,947 4,166,842 2,083,421 6,250,264 3,125,132 1,562,566 781,283 2,343,850 1,171,925

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