8,828,775

3² × 5² × 39239

Starting at 8,828,775, the Collatz iteration reaches 1 after 150 steps. The first transition is 26486326; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 39239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 15,813,720

Proper Divisor Sum 6,984,945

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8828753 ← → #8828777

Radix Representation

Decimal	8828775
Binary	100001101011011101100111 (24 bits)
Octal	0o41533547
Hexadecimal	0x86B767

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 39,239 117,717 196,195 353,151 588,585 980,975 1,765,755 2,942,925 8,828,775

Collatz Trajectory (150 steps to reach 1)

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

8,828,775 26,486,326 13,243,163 39,729,490 19,864,745 59,594,236 29,797,118 14,898,559 44,695,678 22,347,839 67,043,518 33,521,759 100,565,278 50,282,639 150,847,918 75,423,959 226,271,878 113,135,939 339,407,818 169,703,909 509,111,728 254,555,864 127,277,932 63,638,966 31,819,483 95,458,450 47,729,225 143,187,676 71,593,838 35,796,919 107,390,758 53,695,379 161,086,138 80,543,069 241,629,208 120,814,604 60,407,302 30,203,651 90,610,954 45,305,477 135,916,432 67,958,216 33,979,108 16,989,554 8,494,777 25,484,332 12,742,166 6,371,083 19,113,250 9,556,625 28,669,876 14,334,938 7,167,469 21,502,408 10,751,204 5,375,602 2,687,801 8,063,404 4,031,702 2,015,851

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