6,091,125

3 × 5³ × 37 × 439

Starting at 6,091,125, the Collatz iteration reaches 1 after 108 steps. The first transition is 18273376; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^3 × 37 × 439

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,433,280

Proper Divisor Sum 4,342,155

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6091109 ← → #6091207

Radix Representation

Decimal	6091125
Binary	10111001111000101110101 (23 bits)
Octal	0o27170565
Hexadecimal	0x5CF175

Divisor Catalog (32)

1 3 5 15 25 37 75 111 125 185 375 439 555 925 1,317 2,195 2,775 4,625 6,585 10,975 13,875 16,243 32,925 48,729 54,875 81,215 164,625 243,645 406,075 1,218,225 2,030,375 6,091,125

Collatz Trajectory (108 steps to reach 1)

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

6,091,125 18,273,376 9,136,688 4,568,344 2,284,172 1,142,086 571,043 1,713,130 856,565 2,569,696 1,284,848 642,424 321,212 160,606 80,303 240,910 120,455 361,366 180,683 542,050 271,025 813,076 406,538 203,269 609,808 304,904 152,452 76,226 38,113 114,340 57,170 28,585 85,756 42,878 21,439 64,318 32,159 96,478 48,239 144,718 72,359 217,078 108,539 325,618 162,809 488,428 244,214 122,107 366,322 183,161 549,484 274,742 137,371 412,114 206,057 618,172 309,086 154,543 463,630 231,815

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