427,324

2² × 47 × 2273

Starting at 427,324, the Collatz iteration reaches 1 after 174 steps. The first transition is 213662; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 47 × 2273

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 764,064

Proper Divisor Sum 336,740

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #427309 ← → #427327

Radix Representation

Decimal	427324
Binary	1101000010100111100 (19 bits)
Octal	0o1502474
Hexadecimal	0x6853C

Divisor Catalog (12)

1 2 4 47 94 188 2,273 4,546 9,092 106,831 213,662 427,324

Collatz Trajectory (174 steps to reach 1)

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

427,324 213,662 106,831 320,494 160,247 480,742 240,371 721,114 360,557 1,081,672 540,836 270,418 135,209 405,628 202,814 101,407 304,222 152,111 456,334 228,167 684,502 342,251 1,026,754 513,377 1,540,132 770,066 385,033 1,155,100 577,550 288,775 866,326 433,163 1,299,490 649,745 1,949,236 974,618 487,309 1,461,928 730,964 365,482 182,741 548,224 274,112 137,056 68,528 34,264 17,132 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711

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