164,641

31 × 47 × 113

Starting at 164,641, the Collatz iteration reaches 1 after 183 steps. The first transition is 493924; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 47 × 113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 175,104

Proper Divisor Sum 10,463

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #164627 ← → #164653

Radix Representation

Decimal	164641
Binary	101000001100100001 (18 bits)
Octal	0o501441
Hexadecimal	0x28321

Divisor Catalog (8)

1 31 47 113 1,457 3,503 5,311 164,641

Collatz Trajectory (183 steps to reach 1)

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

164,641 493,924 246,962 123,481 370,444 185,222 92,611 277,834 138,917 416,752 208,376 104,188 52,094 26,047 78,142 39,071 117,214 58,607 175,822 87,911 263,734 131,867 395,602 197,801 593,404 296,702 148,351 445,054 222,527 667,582 333,791 1,001,374 500,687 1,502,062 751,031 2,253,094 1,126,547 3,379,642 1,689,821 5,069,464 2,534,732 1,267,366 633,683 1,901,050 950,525 2,851,576 1,425,788 712,894 356,447 1,069,342 534,671 1,604,014 802,007 2,406,022 1,203,011 3,609,034 1,804,517 5,413,552 2,706,776 1,353,388

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