6,684,025

5² × 41 × 6521

Starting at 6,684,025, the Collatz iteration reaches 1 after 147 steps. The first transition is 20052076; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 41 × 6521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,491,644

Proper Divisor Sum 1,807,619

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6684023 ← → #6684037

Radix Representation

Decimal	6684025
Binary	11001011111110101111001 (23 bits)
Octal	0o31376571
Hexadecimal	0x65FD79

Divisor Catalog (12)

1 5 25 41 205 1,025 6,521 32,605 163,025 267,361 1,336,805 6,684,025

Collatz Trajectory (147 steps to reach 1)

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

6,684,025 20,052,076 10,026,038 5,013,019 15,039,058 7,519,529 22,558,588 11,279,294 5,639,647 16,918,942 8,459,471 25,378,414 12,689,207 38,067,622 19,033,811 57,101,434 28,550,717 85,652,152 42,826,076 21,413,038 10,706,519 32,119,558 16,059,779 48,179,338 24,089,669 72,269,008 36,134,504 18,067,252 9,033,626 4,516,813 13,550,440 6,775,220 3,387,610 1,693,805 5,081,416 2,540,708 1,270,354 635,177 1,905,532 952,766 476,383 1,429,150 714,575 2,143,726 1,071,863 3,215,590 1,607,795 4,823,386 2,411,693 7,235,080 3,617,540 1,808,770 904,385 2,713,156 1,356,578 678,289 2,034,868 1,017,434 508,717 1,526,152

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