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Atlas › Integer Profiles › Node 2,196,552

2,196,552

23 × 3 × 19 × 4817
Abundant Even Composite

2,196,552 factors as 2^3 × 3 × 19 × 4817. Its 32 positive divisors give a proper-divisor sum of 3,585,048, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 4817
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,781,600
Proper Divisor Sum 3,585,048
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2196541 ← → #2196559

Radix Representation

Decimal 2196552
Binary 1000011000010001001000 (22 bits)
Octal 0o10302110
Hexadecimal 0x218448

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 4,817 9,634 14,451 19,268 28,902 38,536 57,804 91,523 115,608 183,046 274,569 366,092 549,138 732,184 1,098,276 2,196,552

Collatz Trajectory (86 steps to reach 1)

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

2,196,552 1,098,276 549,138 274,569 823,708 411,854 205,927 617,782 308,891 926,674 463,337 1,390,012 695,006 347,503 1,042,510 521,255 1,563,766 781,883 2,345,650 1,172,825 3,518,476 1,759,238 879,619 2,638,858 1,319,429 3,958,288 1,979,144 989,572 494,786 247,393 742,180 371,090 185,545 556,636 278,318 139,159 417,478 208,739 626,218 313,109 939,328 469,664 234,832 117,416 58,708 29,354 14,677 44,032 22,016 11,008 5,504 2,752 1,376 688 344 172 86 43 130 65

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