λ
Modular Archive

4,641,104

24 × 13 × 53 × 421
Abundant Even Composite

The decimal integer 4,641,104 is 10001101101000101010000 in binary (23 bits), 21550520 in octal and 46D150 in hexadecimal. Its digit sum is 20.

Prime Factor Structure

Factorization String 2^4 × 13 × 53 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,889,992
Proper Divisor Sum 5,248,888
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4641089 ← → #4641107

Radix Representation

Decimal 4641104
Binary 10001101101000101010000 (23 bits)
Octal 0o21550520
Hexadecimal 0x46D150

Divisor Catalog (40)

1 2 4 8 13 16 26 52 53 104 106 208 212 421 424 689 842 848 1,378 1,684 2,756 3,368 5,473 5,512 6,736 10,946 11,024 21,892 22,313 43,784 44,626 87,568 89,252 178,504 290,069 357,008 580,138 1,160,276 2,320,552 4,641,104

Collatz Trajectory (131 steps to reach 1)

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

4,641,104 2,320,552 1,160,276 580,138 290,069 870,208 435,104 217,552 108,776 54,388 27,194 13,597 40,792 20,396 10,198 5,099 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740

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