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Atlas › Integer Profiles › Node 8,769,640

8,769,640

23 × 5 × 11 × 19 × 1049
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 19 × 1049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,680,000
Proper Divisor Sum 13,910,360
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8769623 ← → #8769641

Radix Representation

Decimal 8769640
Binary 100001011101000001101000 (24 bits)
Octal 0o41350150
Hexadecimal 0x85D068

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1,045 1,049 1,672 2,090 2,098 4,180 4,196 5,245 8,360 8,392 10,490 11,539 19,931 20,980 23,078 39,862 41,960 46,156 57,695 79,724 92,312 99,655 115,390 159,448 199,310 219,241 230,780 398,620 438,482 461,560 797,240 876,964 1,096,205

Collatz Trajectory (137 steps to reach 1)

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

8,769,640 4,384,820 2,192,410 1,096,205 3,288,616 1,644,308 822,154 411,077 1,233,232 616,616 308,308 154,154 77,077 231,232 115,616 57,808 28,904 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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