2,167,891

11 × 17 × 11593

Starting at 2,167,891, the Collatz iteration reaches 1 after 148 steps. The first transition is 6503674; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 17 × 11593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,504,304

Proper Divisor Sum 336,413

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2167889 ← → #2167903

Radix Representation

Decimal	2167891
Binary	1000010001010001010011 (22 bits)
Octal	0o10212123
Hexadecimal	0x211453

Divisor Catalog (8)

1 11 17 187 11,593 127,523 197,081 2,167,891

Collatz Trajectory (148 steps to reach 1)

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

2,167,891 6,503,674 3,251,837 9,755,512 4,877,756 2,438,878 1,219,439 3,658,318 1,829,159 5,487,478 2,743,739 8,231,218 4,115,609 12,346,828 6,173,414 3,086,707 9,260,122 4,630,061 13,890,184 6,945,092 3,472,546 1,736,273 5,208,820 2,604,410 1,302,205 3,906,616 1,953,308 976,654 488,327 1,464,982 732,491 2,197,474 1,098,737 3,296,212 1,648,106 824,053 2,472,160 1,236,080 618,040 309,020 154,510 77,255 231,766 115,883 347,650 173,825 521,476 260,738 130,369 391,108 195,554 97,777 293,332 146,666 73,333 220,000 110,000 55,000 27,500 13,750

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