6,188,425

5² × 17 × 14561

Starting at 6,188,425, the Collatz iteration reaches 1 after 209 steps. The first transition is 18565276; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 17 × 14561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,125,596

Proper Divisor Sum 1,937,171

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6188411 ← → #6188477

Radix Representation

Decimal	6188425
Binary	10111100110110110001001 (23 bits)
Octal	0o27466611
Hexadecimal	0x5E6D89

Divisor Catalog (12)

1 5 17 25 85 425 14,561 72,805 247,537 364,025 1,237,685 6,188,425

Collatz Trajectory (209 steps to reach 1)

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

6,188,425 18,565,276 9,282,638 4,641,319 13,923,958 6,961,979 20,885,938 10,442,969 31,328,908 15,664,454 7,832,227 23,496,682 11,748,341 35,245,024 17,622,512 8,811,256 4,405,628 2,202,814 1,101,407 3,304,222 1,652,111 4,956,334 2,478,167 7,434,502 3,717,251 11,151,754 5,575,877 16,727,632 8,363,816 4,181,908 2,090,954 1,045,477 3,136,432 1,568,216 784,108 392,054 196,027 588,082 294,041 882,124 441,062 220,531 661,594 330,797 992,392 496,196 248,098 124,049 372,148 186,074 93,037 279,112 139,556 69,778 34,889 104,668 52,334 26,167 78,502 39,251

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