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Atlas › Integer Profiles › Node 4,921,908

4,921,908

22 × 3 × 17 × 23 × 1049
Abundant Even Composite

4,921,908 factors as 2^2 × 3 × 17 × 23 × 1049. Its 48 positive divisors give a proper-divisor sum of 7,778,892, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 23 × 1049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,700,800
Proper Divisor Sum 7,778,892
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4921883 ← → #4921913

Radix Representation

Decimal 4921908
Binary 10010110001101000110100 (23 bits)
Octal 0o22615064
Hexadecimal 0x4B1A34

Divisor Catalog (48)

1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1,049 1,173 1,564 2,098 2,346 3,147 4,196 4,692 6,294 12,588 17,833 24,127 35,666 48,254 53,499 71,332 72,381 96,508 106,998 144,762 213,996 289,524 410,159 820,318 1,230,477 1,640,636 2,460,954 4,921,908

Collatz Trajectory (87 steps to reach 1)

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

4,921,908 2,460,954 1,230,477 3,691,432 1,845,716 922,858 461,429 1,384,288 692,144 346,072 173,036 86,518 43,259 129,778 64,889 194,668 97,334 48,667 146,002 73,001 219,004 109,502 54,751 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777 197,332 98,666 49,333 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204

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