8,800,809

3 × 53 × 55351

Starting at 8,800,809, the Collatz iteration reaches 1 after 194 steps. The first transition is 26402428; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 53 × 55351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,956,032

Proper Divisor Sum 3,155,223

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8800801 ← → #8800829

Radix Representation

Decimal	8800809
Binary	100001100100101000101001 (24 bits)
Octal	0o41445051
Hexadecimal	0x864A29

Divisor Catalog (8)

1 3 53 159 55,351 166,053 2,933,603 8,800,809

Collatz Trajectory (194 steps to reach 1)

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

8,800,809 26,402,428 13,201,214 6,600,607 19,801,822 9,900,911 29,702,734 14,851,367 44,554,102 22,277,051 66,831,154 33,415,577 100,246,732 50,123,366 25,061,683 75,185,050 37,592,525 112,777,576 56,388,788 28,194,394 14,097,197 42,291,592 21,145,796 10,572,898 5,286,449 15,859,348 7,929,674 3,964,837 11,894,512 5,947,256 2,973,628 1,486,814 743,407 2,230,222 1,115,111 3,345,334 1,672,667 5,018,002 2,509,001 7,527,004 3,763,502 1,881,751 5,645,254 2,822,627 8,467,882 4,233,941 12,701,824 6,350,912 3,175,456 1,587,728 793,864 396,932 198,466 99,233 297,700 148,850 74,425 223,276 111,638 55,819

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