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Atlas › Integer Profiles › Node 5,778,460

5,778,460

22 × 5 × 592 × 83
Abundant Even Composite

5,778,460 factors as 2^2 × 5 × 59^2 × 83. Its 36 positive divisors give a proper-divisor sum of 6,714,188, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 59^2 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,492,648
Proper Divisor Sum 6,714,188
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5778449 ← → #5778467

Radix Representation

Decimal 5778460
Binary 10110000010110000011100 (23 bits)
Octal 0o26026034
Hexadecimal 0x582C1C

Divisor Catalog (36)

1 2 4 5 10 20 59 83 118 166 236 295 332 415 590 830 1,180 1,660 3,481 4,897 6,962 9,794 13,924 17,405 19,588 24,485 34,810 48,970 69,620 97,940 288,923 577,846 1,155,692 1,444,615 2,889,230 5,778,460

Collatz Trajectory (95 steps to reach 1)

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

5,778,460 2,889,230 1,444,615 4,333,846 2,166,923 6,500,770 3,250,385 9,751,156 4,875,578 2,437,789 7,313,368 3,656,684 1,828,342 914,171 2,742,514 1,371,257 4,113,772 2,056,886 1,028,443 3,085,330 1,542,665 4,627,996 2,313,998 1,156,999 3,470,998 1,735,499 5,206,498 2,603,249 7,809,748 3,904,874 1,952,437 5,857,312 2,928,656 1,464,328 732,164 366,082 183,041 549,124 274,562 137,281 411,844 205,922 102,961 308,884 154,442 77,221 231,664 115,832 57,916 28,958 14,479 43,438 21,719 65,158 32,579 97,738 48,869 146,608 73,304 36,652

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