522,714

2 × 3 × 87119

Starting at 522,714, the Collatz iteration reaches 1 after 164 steps. The first transition is 261357; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 87119

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,045,440

Proper Divisor Sum 522,726

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #522707 ← → #522719

Radix Representation

Decimal	522714
Binary	1111111100111011010 (19 bits)
Octal	0o1774732
Hexadecimal	0x7F9DA

Divisor Catalog (8)

1 2 3 6 87,119 174,238 261,357 522,714

Collatz Trajectory (164 steps to reach 1)

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

522,714 261,357 784,072 392,036 196,018 98,009 294,028 147,014 73,507 220,522 110,261 330,784 165,392 82,696 41,348 20,674 10,337 31,012 15,506 7,753 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94

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