264,845

5 × 7² × 23 × 47

Starting at 264,845, the Collatz iteration reaches 1 after 101 steps. The first transition is 794536; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 23 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 393,984

Proper Divisor Sum 129,139

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #264839 ← → #264871

Radix Representation

Decimal	264845
Binary	1000000101010001101 (19 bits)
Octal	0o1005215
Hexadecimal	0x40A8D

Divisor Catalog (24)

1 5 7 23 35 47 49 115 161 235 245 329 805 1,081 1,127 1,645 2,303 5,405 5,635 7,567 11,515 37,835 52,969 264,845

Collatz Trajectory (101 steps to reach 1)

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

264,845 794,536 397,268 198,634 99,317 297,952 148,976 74,488 37,244 18,622 9,311 27,934 13,967 41,902 20,951 62,854 31,427 94,282 47,141 141,424 70,712 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281

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