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Atlas › Integer Profiles › Node 4,653,162

4,653,162

2 × 32 × 312 × 269
Abundant Even Composite

4,653,162 factors as 2 × 3^2 × 31^2 × 269. Its 36 positive divisors give a proper-divisor sum of 5,803,128, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 31^2 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,456,290
Proper Divisor Sum 5,803,128
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4653151 ← → #4653169

Radix Representation

Decimal 4653162
Binary 10001110000000001101010 (23 bits)
Octal 0o21600152
Hexadecimal 0x47006A

Divisor Catalog (36)

1 2 3 6 9 18 31 62 93 186 269 279 538 558 807 961 1,614 1,922 2,421 2,883 4,842 5,766 8,339 8,649 16,678 17,298 25,017 50,034 75,051 150,102 258,509 517,018 775,527 1,551,054 2,326,581 4,653,162

Collatz Trajectory (74 steps to reach 1)

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

4,653,162 2,326,581 6,979,744 3,489,872 1,744,936 872,468 436,234 218,117 654,352 327,176 163,588 81,794 40,897 122,692 61,346 30,673 92,020 46,010 23,005 69,016 34,508 17,254 8,627 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23

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