4,267,476

2² × 3² × 17 × 19 × 367

Starting at 4,267,476, the Collatz iteration reaches 1 after 74 steps. The first transition is 2133738; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 19 × 367

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,055,680

Proper Divisor Sum 7,788,204

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4267463 ← → #4267517

Radix Representation

Decimal	4267476
Binary	10000010001110111010100 (23 bits)
Octal	0o20216724
Hexadecimal	0x411DD4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 367 612 646 684 734 969 1,101 1,292 1,468 1,938 2,202 2,907 3,303 3,876 4,404 5,814 6,239 6,606 6,973 11,628 12,478 13,212 13,946 18,717 20,919 24,956 27,892 37,434 41,838 56,151 62,757 74,868 83,676 112,302

Collatz Trajectory (74 steps to reach 1)

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

4,267,476 2,133,738 1,066,869 3,200,608 1,600,304 800,152 400,076 200,038 100,019 300,058 150,029 450,088 225,044 112,522 56,261 168,784 84,392 42,196 21,098 10,549 31,648 15,824 7,912 3,956 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22

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