4,562,229

3 × 7 × 89 × 2441

Starting at 4,562,229, the Collatz iteration reaches 1 after 79 steps. The first transition is 13686688; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 89 × 2441

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,032,960

Proper Divisor Sum 2,470,731

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4562227 ← → #4562269

Radix Representation

Decimal	4562229
Binary	10001011001110100110101 (23 bits)
Octal	0o21316465
Hexadecimal	0x459D35

Divisor Catalog (16)

1 3 7 21 89 267 623 1,869 2,441 7,323 17,087 51,261 217,249 651,747 1,520,743 4,562,229

Collatz Trajectory (79 steps to reach 1)

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

4,562,229 13,686,688 6,843,344 3,421,672 1,710,836 855,418 427,709 1,283,128 641,564 320,782 160,391 481,174 240,587 721,762 360,881 1,082,644 541,322 270,661 811,984 405,992 202,996 101,498 50,749 152,248 76,124 38,062 19,031 57,094 28,547 85,642 42,821 128,464 64,232 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805

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