8,841,825

3³ × 5² × 13099

8,841,825 is odd and not a perfect square. Its factorization is 3^3 × 5^2 × 13099 and its 24 divisors sum to 16,244,000.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 13099

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,244,000

Proper Divisor Sum 7,402,175

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8841823 ← → #8841827

Radix Representation

Decimal	8841825
Binary	100001101110101001100001 (24 bits)
Octal	0o41565141
Hexadecimal	0x86EA61

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 13,099 39,297 65,495 117,891 196,485 327,475 353,673 589,455 982,425 1,768,365 2,947,275 8,841,825

Collatz Trajectory (287 steps to reach 1)

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

8,841,825 26,525,476 13,262,738 6,631,369 19,894,108 9,947,054 4,973,527 14,920,582 7,460,291 22,380,874 11,190,437 33,571,312 16,785,656 8,392,828 4,196,414 2,098,207 6,294,622 3,147,311 9,441,934 4,720,967 14,162,902 7,081,451 21,244,354 10,622,177 31,866,532 15,933,266 7,966,633 23,899,900 11,949,950 5,974,975 17,924,926 8,962,463 26,887,390 13,443,695 40,331,086 20,165,543 60,496,630 30,248,315 90,744,946 45,372,473 136,117,420 68,058,710 34,029,355 102,088,066 51,044,033 153,132,100 76,566,050 38,283,025 114,849,076 57,424,538 28,712,269 86,136,808 43,068,404 21,534,202 10,767,101 32,301,304 16,150,652 8,075,326 4,037,663 12,112,990

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