4,457,267

19² × 12347

Starting at 4,457,267, the Collatz iteration reaches 1 after 180 steps. The first transition is 13371802; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 19^2 × 12347

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,704,588

Proper Divisor Sum 247,321

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4457263 ← → #4457269

Radix Representation

Decimal	4457267
Binary	10001000000001100110011 (23 bits)
Octal	0o21001463
Hexadecimal	0x440333

Divisor Catalog (6)

1 19 361 12,347 234,593 4,457,267

Collatz Trajectory (180 steps to reach 1)

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

4,457,267 13,371,802 6,685,901 20,057,704 10,028,852 5,014,426 2,507,213 7,521,640 3,760,820 1,880,410 940,205 2,820,616 1,410,308 705,154 352,577 1,057,732 528,866 264,433 793,300 396,650 198,325 594,976 297,488 148,744 74,372 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714

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