λ
Modular Archive

3,412,760

23 × 5 × 13 × 6563
Abundant Even Composite

The decimal integer 3,412,760 is 1101000001001100011000 in binary (22 bits), 15011430 in octal and 341318 in hexadecimal. Its digit sum is 23.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 6563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,270,640
Proper Divisor Sum 4,857,880
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3412753 ← → #3412777

Radix Representation

Decimal 3412760
Binary 1101000001001100011000 (22 bits)
Octal 0o15011430
Hexadecimal 0x341318

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 6,563 13,126 26,252 32,815 52,504 65,630 85,319 131,260 170,638 262,520 341,276 426,595 682,552 853,190 1,706,380 3,412,760

Collatz Trajectory (76 steps to reach 1)

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

3,412,760 1,706,380 853,190 426,595 1,279,786 639,893 1,919,680 959,840 479,920 239,960 119,980 59,990 29,995 89,986 44,993 134,980 67,490 33,745 101,236 50,618 25,309 75,928 37,964 18,982 9,491 28,474 14,237 42,712 21,356 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616

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