λ
Modular Archive

4,001,780

22 × 5 × 19 × 10531
Abundant Even Composite

The decimal integer 4,001,780 is 1111010000111111110100 in binary (22 bits), 17207764 in octal and 3D0FF4 in hexadecimal. Its digit sum is 20.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 10531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,846,880
Proper Divisor Sum 4,845,100
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4001779 ← → #4001791

Radix Representation

Decimal 4001780
Binary 1111010000111111110100 (22 bits)
Octal 0o17207764
Hexadecimal 0x3D0FF4

Divisor Catalog (24)

1 2 4 5 10 19 20 38 76 95 190 380 10,531 21,062 42,124 52,655 105,310 200,089 210,620 400,178 800,356 1,000,445 2,000,890 4,001,780

Collatz Trajectory (92 steps to reach 1)

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

4,001,780 2,000,890 1,000,445 3,001,336 1,500,668 750,334 375,167 1,125,502 562,751 1,688,254 844,127 2,532,382 1,266,191 3,798,574 1,899,287 5,697,862 2,848,931 8,546,794 4,273,397 12,820,192 6,410,096 3,205,048 1,602,524 801,262 400,631 1,201,894 600,947 1,802,842 901,421 2,704,264 1,352,132 676,066 338,033 1,014,100 507,050 253,525 760,576 380,288 190,144 95,072 47,536 23,768 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232

More profiles

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