2,079,125

5³ × 16633

Starting at 2,079,125, the Collatz iteration reaches 1 after 166 steps. The first transition is 6237376; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 16633

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,594,904

Proper Divisor Sum 515,779

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2079109 ← → #2079127

Radix Representation

Decimal	2079125
Binary	111111011100110010101 (21 bits)
Octal	0o7734625
Hexadecimal	0x1FB995

Divisor Catalog (8)

1 5 25 125 16,633 83,165 415,825 2,079,125

Collatz Trajectory (166 steps to reach 1)

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

2,079,125 6,237,376 3,118,688 1,559,344 779,672 389,836 194,918 97,459 292,378 146,189 438,568 219,284 109,642 54,821 164,464 82,232 41,116 20,558 10,279 30,838 15,419 46,258 23,129 69,388 34,694 17,347 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62

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