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Atlas › Integer Profiles › Node 5,643,168

5,643,168

25 × 3 × 29 × 2027
Abundant Even Composite

5,643,168 factors as 2^5 × 3 × 29 × 2027. Its 48 positive divisors give a proper-divisor sum of 9,688,512, so this integer is abundant. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 29 × 2027
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,331,680
Proper Divisor Sum 9,688,512
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5643163 ← → #5643181

Radix Representation

Decimal 5643168
Binary 10101100001101110100000 (23 bits)
Octal 0o25415640
Hexadecimal 0x561BA0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1,392 2,027 2,784 4,054 6,081 8,108 12,162 16,216 24,324 32,432 48,648 58,783 64,864 97,296 117,566 176,349 194,592 235,132 352,698 470,264 705,396 940,528 1,410,792 1,881,056 2,821,584 5,643,168

Collatz Trajectory (276 steps to reach 1)

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

5,643,168 2,821,584 1,410,792 705,396 352,698 176,349 529,048 264,524 132,262 66,131 198,394 99,197 297,592 148,796 74,398 37,199 111,598 55,799 167,398 83,699 251,098 125,549 376,648 188,324 94,162 47,081 141,244 70,622 35,311 105,934 52,967 158,902 79,451 238,354 119,177 357,532 178,766 89,383 268,150 134,075 402,226 201,113 603,340 301,670 150,835 452,506 226,253 678,760 339,380 169,690 84,845 254,536 127,268 63,634 31,817 95,452 47,726 23,863 71,590 35,795

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