λ
Modular Archive

2,820,829

11 × 101 × 2539
Deficient Odd Composite

The decimal integer 2,820,829 is 1010110000101011011101 in binary (22 bits), 12605335 in octal and 2B0ADD in hexadecimal. Its digit sum is 31.

Prime Factor Structure

Factorization String 11 × 101 × 2539
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,108,960
Proper Divisor Sum 288,131
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2820821 ← → #2820833

Radix Representation

Decimal 2820829
Binary 1010110000101011011101 (22 bits)
Octal 0o12605335
Hexadecimal 0x2B0ADD

Divisor Catalog (8)

1 11 101 1,111 2,539 27,929 256,439 2,820,829

Collatz Trajectory (169 steps to reach 1)

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

2,820,829 8,462,488 4,231,244 2,115,622 1,057,811 3,173,434 1,586,717 4,760,152 2,380,076 1,190,038 595,019 1,785,058 892,529 2,677,588 1,338,794 669,397 2,008,192 1,004,096 502,048 251,024 125,512 62,756 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83

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