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Atlas › Integer Profiles › Node 8,769,438

8,769,438

2 × 33 × 251 × 647
Abundant Even Composite

8,769,438 factors as 2 × 3^3 × 251 × 647. Its 32 positive divisors give a proper-divisor sum of 10,826,082, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 251 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,595,520
Proper Divisor Sum 10,826,082
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8769413 ← → #8769443

Radix Representation

Decimal 8769438
Binary 100001011100111110011110 (24 bits)
Octal 0o41347636
Hexadecimal 0x85CF9E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 251 502 647 753 1,294 1,506 1,941 2,259 3,882 4,518 5,823 6,777 11,646 13,554 17,469 34,938 162,397 324,794 487,191 974,382 1,461,573 2,923,146 4,384,719 8,769,438

Collatz Trajectory (119 steps to reach 1)

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

8,769,438 4,384,719 13,154,158 6,577,079 19,731,238 9,865,619 29,596,858 14,798,429 44,395,288 22,197,644 11,098,822 5,549,411 16,648,234 8,324,117 24,972,352 12,486,176 6,243,088 3,121,544 1,560,772 780,386 390,193 1,170,580 585,290 292,645 877,936 438,968 219,484 109,742 54,871 164,614 82,307 246,922 123,461 370,384 185,192 92,596 46,298 23,149 69,448 34,724 17,362 8,681 26,044 13,022 6,511 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272

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