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Atlas › Integer Profiles › Node 4,445,296

4,445,296

24 × 17 × 59 × 277
Abundant Even Composite

4,445,296 factors as 2^4 × 17 × 59 × 277. Its 40 positive divisors give a proper-divisor sum of 4,862,144, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 59 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,307,440
Proper Divisor Sum 4,862,144
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4445281 ← → #4445303

Radix Representation

Decimal 4445296
Binary 10000111101010001110000 (23 bits)
Octal 0o20752160
Hexadecimal 0x43D470

Divisor Catalog (40)

1 2 4 8 16 17 34 59 68 118 136 236 272 277 472 554 944 1,003 1,108 2,006 2,216 4,012 4,432 4,709 8,024 9,418 16,048 16,343 18,836 32,686 37,672 65,372 75,344 130,744 261,488 277,831 555,662 1,111,324 2,222,648 4,445,296

Collatz Trajectory (118 steps to reach 1)

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

4,445,296 2,222,648 1,111,324 555,662 277,831 833,494 416,747 1,250,242 625,121 1,875,364 937,682 468,841 1,406,524 703,262 351,631 1,054,894 527,447 1,582,342 791,171 2,373,514 1,186,757 3,560,272 1,780,136 890,068 445,034 222,517 667,552 333,776 166,888 83,444 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702

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