λ
Modular Archive

8,342,013

3 × 2780671
Deficient Odd Composite

The decimal integer 8,342,013 is 11111110100100111111101 in binary (23 bits), 37644775 in octal and 7F49FD in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 3 × 2780671
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,122,688
Proper Divisor Sum 2,780,675
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8342011 ← → #8342017

Radix Representation

Decimal 8342013
Binary 11111110100100111111101 (23 bits)
Octal 0o37644775
Hexadecimal 0x7F49FD

Divisor Catalog (4)

1 3 2,780,671 8,342,013

Collatz Trajectory (111 steps to reach 1)

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

8,342,013 25,026,040 12,513,020 6,256,510 3,128,255 9,384,766 4,692,383 14,077,150 7,038,575 21,115,726 10,557,863 31,673,590 15,836,795 47,510,386 23,755,193 71,265,580 35,632,790 17,816,395 53,449,186 26,724,593 80,173,780 40,086,890 20,043,445 60,130,336 30,065,168 15,032,584 7,516,292 3,758,146 1,879,073 5,637,220 2,818,610 1,409,305 4,227,916 2,113,958 1,056,979 3,170,938 1,585,469 4,756,408 2,378,204 1,189,102 594,551 1,783,654 891,827 2,675,482 1,337,741 4,013,224 2,006,612 1,003,306 501,653 1,504,960 752,480 376,240 188,120 94,060 47,030 23,515 70,546 35,273 105,820 52,910

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