λ
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Atlas › Integer Profiles › Node 2,570,618

2,570,618

2 × 23 × 29 × 41 × 47
Deficient Even Composite

2,570,618 factors as 2 × 23 × 29 × 41 × 47. Its 32 positive divisors give a proper-divisor sum of 1,783,942, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 23 × 29 × 41 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,354,560
Proper Divisor Sum 1,783,942
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2570611 ← → #2570627

Radix Representation

Decimal 2570618
Binary 1001110011100101111010 (22 bits)
Octal 0o11634572
Hexadecimal 0x27397A

Divisor Catalog (32)

1 2 23 29 41 46 47 58 82 94 667 943 1,081 1,189 1,334 1,363 1,886 1,927 2,162 2,378 2,726 3,854 27,347 31,349 44,321 54,694 55,883 62,698 88,642 111,766 1,285,309 2,570,618

Collatz Trajectory (174 steps to reach 1)

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

2,570,618 1,285,309 3,855,928 1,927,964 963,982 481,991 1,445,974 722,987 2,168,962 1,084,481 3,253,444 1,626,722 813,361 2,440,084 1,220,042 610,021 1,830,064 915,032 457,516 228,758 114,379 343,138 171,569 514,708 257,354 128,677 386,032 193,016 96,508 48,254 24,127 72,382 36,191 108,574 54,287 162,862 81,431 244,294 122,147 366,442 183,221 549,664 274,832 137,416 68,708 34,354 17,177 51,532 25,766 12,883 38,650 19,325 57,976 28,988 14,494 7,247 21,742 10,871 32,614 16,307

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