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Atlas › Integer Profiles › Node 8,772,210

8,772,210

2 × 32 × 5 × 29 × 3361
Abundant Even Composite

8,772,210 factors as 2 × 3^2 × 5 × 29 × 3361. Its 48 positive divisors give a proper-divisor sum of 14,829,030, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29 × 3361
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,601,240
Proper Divisor Sum 14,829,030
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8772209 ← → #8772229

Radix Representation

Decimal 8772210
Binary 100001011101101001110010 (24 bits)
Octal 0o41355162
Hexadecimal 0x85DA72

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1,305 2,610 3,361 6,722 10,083 16,805 20,166 30,249 33,610 50,415 60,498 97,469 100,830 151,245 194,938 292,407 302,490 487,345 584,814 877,221 974,690 1,462,035 1,754,442 2,924,070 4,386,105 8,772,210

Collatz Trajectory (199 steps to reach 1)

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

8,772,210 4,386,105 13,158,316 6,579,158 3,289,579 9,868,738 4,934,369 14,803,108 7,401,554 3,700,777 11,102,332 5,551,166 2,775,583 8,326,750 4,163,375 12,490,126 6,245,063 18,735,190 9,367,595 28,102,786 14,051,393 42,154,180 21,077,090 10,538,545 31,615,636 15,807,818 7,903,909 23,711,728 11,855,864 5,927,932 2,963,966 1,481,983 4,445,950 2,222,975 6,668,926 3,334,463 10,003,390 5,001,695 15,005,086 7,502,543 22,507,630 11,253,815 33,761,446 16,880,723 50,642,170 25,321,085 75,963,256 37,981,628 18,990,814 9,495,407 28,486,222 14,243,111 42,729,334 21,364,667 64,094,002 32,047,001 96,141,004 48,070,502 24,035,251 72,105,754

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