4,147,667

29 × 89 × 1607

Starting at 4,147,667, the Collatz iteration reaches 1 after 79 steps. The first transition is 12443002; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 89 × 1607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,341,600

Proper Divisor Sum 193,933

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4147657 ← → #4147673

Radix Representation

Decimal	4147667
Binary	1111110100100111010011 (22 bits)
Octal	0o17644723
Hexadecimal	0x3F49D3

Divisor Catalog (8)

1 29 89 1,607 2,581 46,603 143,023 4,147,667

Collatz Trajectory (79 steps to reach 1)

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

4,147,667 12,443,002 6,221,501 18,664,504 9,332,252 4,666,126 2,333,063 6,999,190 3,499,595 10,498,786 5,249,393 15,748,180 7,874,090 3,937,045 11,811,136 5,905,568 2,952,784 1,476,392 738,196 369,098 184,549 553,648 276,824 138,412 69,206 34,603 103,810 51,905 155,716 77,858 38,929 116,788 58,394 29,197 87,592 43,796 21,898 10,949 32,848 16,424 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736

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