λ
Modular Archive

3,084,240

24 × 3 × 5 × 71 × 181
Abundant Even Composite

The decimal integer 3,084,240 is 1011110000111111010000 in binary (22 bits), 13607720 in octal and 2F0FD0 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 71 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 9,749,376
Proper Divisor Sum 6,665,136
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3084227 ← → #3084247

Radix Representation

Decimal 3084240
Binary 1011110000111111010000 (22 bits)
Octal 0o13607720
Hexadecimal 0x2F0FD0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 181 213 240 284 355 362 426 543 568 710 724 852 905 1,065 1,086 1,136 1,420 1,448 1,704 1,810 2,130 2,172 2,715 2,840 2,896 3,408 3,620 4,260 4,344 5,430 5,680 7,240 8,520 8,688 10,860 12,851 14,480 17,040 21,720

Collatz Trajectory (239 steps to reach 1)

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

3,084,240 1,542,120 771,060 385,530 192,765 578,296 289,148 144,574 72,287 216,862 108,431 325,294 162,647 487,942 243,971 731,914 365,957 1,097,872 548,936 274,468 137,234 68,617 205,852 102,926 51,463 154,390 77,195 231,586 115,793 347,380 173,690 86,845 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565

More profiles

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