λ
Prime Ledger

4,010,940

22 × 32 × 5 × 22283
Abundant Even Composite

4,010,940 has the prime decomposition 2^2 × 3^2 × 5 × 22283. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 22283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,167,064
Proper Divisor Sum 8,156,124
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4010939 ← → #4010953

Radix Representation

Decimal 4010940
Binary 1111010011001110111100 (22 bits)
Octal 0o17231674
Hexadecimal 0x3D33BC

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22,283 44,566 66,849 89,132 111,415 133,698 200,547 222,830 267,396 334,245 401,094 445,660 668,490 802,188 1,002,735 1,336,980 2,005,470 4,010,940

Collatz Trajectory (115 steps to reach 1)

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

4,010,940 2,005,470 1,002,735 3,008,206 1,504,103 4,512,310 2,256,155 6,768,466 3,384,233 10,152,700 5,076,350 2,538,175 7,614,526 3,807,263 11,421,790 5,710,895 17,132,686 8,566,343 25,699,030 12,849,515 38,548,546 19,274,273 57,822,820 28,911,410 14,455,705 43,367,116 21,683,558 10,841,779 32,525,338 16,262,669 48,788,008 24,394,004 12,197,002 6,098,501 18,295,504 9,147,752 4,573,876 2,286,938 1,143,469 3,430,408 1,715,204 857,602 428,801 1,286,404 643,202 321,601 964,804 482,402 241,201 723,604 361,802 180,901 542,704 271,352 135,676 67,838 33,919 101,758 50,879 152,638

More profiles

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