8,325,137

2203 × 3779

Starting at 8,325,137, the Collatz iteration reaches 1 after 137 steps. The first transition is 24975412; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 2203 × 3779

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,331,120

Proper Divisor Sum 5,983

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8325131 ← → #8325151

Radix Representation

Decimal	8325137
Binary	11111110000100000010001 (23 bits)
Octal	0o37604021
Hexadecimal	0x7F0811

Divisor Catalog (4)

1 2,203 3,779 8,325,137

Collatz Trajectory (137 steps to reach 1)

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

8,325,137 24,975,412 12,487,706 6,243,853 18,731,560 9,365,780 4,682,890 2,341,445 7,024,336 3,512,168 1,756,084 878,042 439,021 1,317,064 658,532 329,266 164,633 493,900 246,950 123,475 370,426 185,213 555,640 277,820 138,910 69,455 208,366 104,183 312,550 156,275 468,826 234,413 703,240 351,620 175,810 87,905 263,716 131,858 65,929 197,788 98,894 49,447 148,342 74,171 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805

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