λ
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Atlas › Integer Profiles › Node 8,570,376

8,570,376

23 × 32 × 119033
Abundant Even Composite

8,570,376 factors as 2^3 × 3^2 × 119033. Its 24 positive divisors give a proper-divisor sum of 14,641,254, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 119033
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,211,630
Proper Divisor Sum 14,641,254
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8570371 ← → #8570383

Radix Representation

Decimal 8570376
Binary 100000101100011000001000 (24 bits)
Octal 0o40543010
Hexadecimal 0x82C608

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 119,033 238,066 357,099 476,132 714,198 952,264 1,071,297 1,428,396 2,142,594 2,856,792 4,285,188 8,570,376

Collatz Trajectory (124 steps to reach 1)

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

8,570,376 4,285,188 2,142,594 1,071,297 3,213,892 1,606,946 803,473 2,410,420 1,205,210 602,605 1,807,816 903,908 451,954 225,977 677,932 338,966 169,483 508,450 254,225 762,676 381,338 190,669 572,008 286,004 143,002 71,501 214,504 107,252 53,626 26,813 80,440 40,220 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938 16,969 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062

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