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Atlas › Integer Profiles › Node 8,770,528

8,770,528

25 × 13 × 29 × 727
Abundant Even Composite

8,770,528 factors as 2^5 × 13 × 29 × 727. Its 48 positive divisors give a proper-divisor sum of 10,492,352, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 29 × 727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,262,880
Proper Divisor Sum 10,492,352
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8770481 ← → #8770547

Radix Representation

Decimal 8770528
Binary 100001011101001111100000 (24 bits)
Octal 0o41351740
Hexadecimal 0x85D3E0

Divisor Catalog (48)

1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 727 754 928 1,454 1,508 2,908 3,016 5,816 6,032 9,451 11,632 12,064 18,902 21,083 23,264 37,804 42,166 75,608 84,332 151,216 168,664 274,079 302,432 337,328 548,158 674,656 1,096,316 2,192,632 4,385,264 8,770,528

Collatz Trajectory (225 steps to reach 1)

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

8,770,528 4,385,264 2,192,632 1,096,316 548,158 274,079 822,238 411,119 1,233,358 616,679 1,850,038 925,019 2,775,058 1,387,529 4,162,588 2,081,294 1,040,647 3,121,942 1,560,971 4,682,914 2,341,457 7,024,372 3,512,186 1,756,093 5,268,280 2,634,140 1,317,070 658,535 1,975,606 987,803 2,963,410 1,481,705 4,445,116 2,222,558 1,111,279 3,333,838 1,666,919 5,000,758 2,500,379 7,501,138 3,750,569 11,251,708 5,625,854 2,812,927 8,438,782 4,219,391 12,658,174 6,329,087 18,987,262 9,493,631 28,480,894 14,240,447 42,721,342 21,360,671 64,082,014 32,041,007 96,123,022 48,061,511 144,184,534 72,092,267

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