2,052,172

2² × 17 × 103 × 293

Starting at 2,052,172, the Collatz iteration reaches 1 after 52 steps. The first transition is 1026086; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 103 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,852,576

Proper Divisor Sum 1,800,404

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2052163 ← → #2052179

Radix Representation

Decimal	2052172
Binary	111110101000001001100 (21 bits)
Octal	0o7650114
Hexadecimal	0x1F504C

Divisor Catalog (24)

1 2 4 17 34 68 103 206 293 412 586 1,172 1,751 3,502 4,981 7,004 9,962 19,924 30,179 60,358 120,716 513,043 1,026,086 2,052,172

Collatz Trajectory (52 steps to reach 1)

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

2,052,172 1,026,086 513,043 1,539,130 769,565 2,308,696 1,154,348 577,174 288,587 865,762 432,881 1,298,644 649,322 324,661 973,984 486,992 243,496 121,748 60,874 30,437 91,312 45,656 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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