λ
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Atlas › Integer Profiles › Node 4,892,006

4,892,006

2 × 7 × 19 × 53 × 347
Deficient Even Composite

4,892,006 factors as 2 × 7 × 19 × 53 × 347. Its 32 positive divisors give a proper-divisor sum of 4,128,154, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 53 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,020,160
Proper Divisor Sum 4,128,154
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4892003 ← → #4892009

Radix Representation

Decimal 4892006
Binary 10010101010010101100110 (23 bits)
Octal 0o22522546
Hexadecimal 0x4AA566

Divisor Catalog (32)

1 2 7 14 19 38 53 106 133 266 347 371 694 742 1,007 2,014 2,429 4,858 6,593 7,049 13,186 14,098 18,391 36,782 46,151 92,302 128,737 257,474 349,429 698,858 2,446,003 4,892,006

Collatz Trajectory (206 steps to reach 1)

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

4,892,006 2,446,003 7,338,010 3,669,005 11,007,016 5,503,508 2,751,754 1,375,877 4,127,632 2,063,816 1,031,908 515,954 257,977 773,932 386,966 193,483 580,450 290,225 870,676 435,338 217,669 653,008 326,504 163,252 81,626 40,813 122,440 61,220 30,610 15,305 45,916 22,958 11,479 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174

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