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Atlas › Integer Profiles › Node 4,562,004

4,562,004

22 × 3 × 23 × 16529
Abundant Even Composite

4,562,004 factors as 2^2 × 3 × 23 × 16529. Its 24 positive divisors give a proper-divisor sum of 6,546,156, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 16529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,108,160
Proper Divisor Sum 6,546,156
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4562003 ← → #4562017

Radix Representation

Decimal 4562004
Binary 10001011001110001010100 (23 bits)
Octal 0o21316124
Hexadecimal 0x459C54

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 16,529 33,058 49,587 66,116 99,174 198,348 380,167 760,334 1,140,501 1,520,668 2,281,002 4,562,004

Collatz Trajectory (149 steps to reach 1)

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

4,562,004 2,281,002 1,140,501 3,421,504 1,710,752 855,376 427,688 213,844 106,922 53,461 160,384 80,192 40,096 20,048 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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