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Atlas › Integer Profiles › Node 2,198,630

2,198,630

2 × 5 × 73 × 641
Abundant Even Composite

2,198,630 factors as 2 × 5 × 7^3 × 641. Its 32 positive divisors give a proper-divisor sum of 2,423,770, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^3 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,622,400
Proper Divisor Sum 2,423,770
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2198617 ← → #2198653

Radix Representation

Decimal 2198630
Binary 1000011000110001100110 (22 bits)
Octal 0o10306146
Hexadecimal 0x218C66

Divisor Catalog (32)

1 2 5 7 10 14 35 49 70 98 245 343 490 641 686 1,282 1,715 3,205 3,430 4,487 6,410 8,974 22,435 31,409 44,870 62,818 157,045 219,863 314,090 439,726 1,099,315 2,198,630

Collatz Trajectory (210 steps to reach 1)

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

2,198,630 1,099,315 3,297,946 1,648,973 4,946,920 2,473,460 1,236,730 618,365 1,855,096 927,548 463,774 231,887 695,662 347,831 1,043,494 521,747 1,565,242 782,621 2,347,864 1,173,932 586,966 293,483 880,450 440,225 1,320,676 660,338 330,169 990,508 495,254 247,627 742,882 371,441 1,114,324 557,162 278,581 835,744 417,872 208,936 104,468 52,234 26,117 78,352 39,176 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326

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