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Atlas › Integer Profiles › Node 8,777,210

8,777,210

2 × 5 × 13 × 107 × 631
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 107 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,200,512
Proper Divisor Sum 8,423,302
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8777189 ← → #8777231

Radix Representation

Decimal 8777210
Binary 100001011110110111111010 (24 bits)
Octal 0o41366772
Hexadecimal 0x85EDFA

Divisor Catalog (32)

1 2 5 10 13 26 65 107 130 214 535 631 1,070 1,262 1,391 2,782 3,155 6,310 6,955 8,203 13,910 16,406 41,015 67,517 82,030 135,034 337,585 675,170 877,721 1,755,442 4,388,605 8,777,210

Collatz Trajectory (225 steps to reach 1)

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

8,777,210 4,388,605 13,165,816 6,582,908 3,291,454 1,645,727 4,937,182 2,468,591 7,405,774 3,702,887 11,108,662 5,554,331 16,662,994 8,331,497 24,994,492 12,497,246 6,248,623 18,745,870 9,372,935 28,118,806 14,059,403 42,178,210 21,089,105 63,267,316 31,633,658 15,816,829 47,450,488 23,725,244 11,862,622 5,931,311 17,793,934 8,896,967 26,690,902 13,345,451 40,036,354 20,018,177 60,054,532 30,027,266 15,013,633 45,040,900 22,520,450 11,260,225 33,780,676 16,890,338 8,445,169 25,335,508 12,667,754 6,333,877 19,001,632 9,500,816 4,750,408 2,375,204 1,187,602 593,801 1,781,404 890,702 445,351 1,336,054 668,027 2,004,082

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