252,714

2 × 3 × 7 × 11 × 547

Starting at 252,714, the Collatz iteration reaches 1 after 44 steps. The first transition is 126357; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 547

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 631,296

Proper Divisor Sum 378,582

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #252713 ← → #252727

Radix Representation

Decimal	252714
Binary	111101101100101010 (18 bits)
Octal	0o755452
Hexadecimal	0x3DB2A

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 547 1,094 1,641 3,282 3,829 6,017 7,658 11,487 12,034 18,051 22,974 36,102 42,119 84,238 126,357 252,714

Collatz Trajectory (44 steps to reach 1)

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

252,714 126,357 379,072 189,536 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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