λ
Sigma Notebook

2,828,129

2828129
Deficient Odd Prime

2,828,129 is odd and not a perfect square. Its factorization is 2828129 and its 2 divisors sum to 2,828,130.

Prime Factor Structure

Factorization String 2828129
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,828,130
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2828123 ← → #2828141

Radix Representation

Decimal 2828129
Binary 1010110010011101100001 (22 bits)
Octal 0o12623541
Hexadecimal 0x2B2761

Divisor Catalog (2)

Collatz Trajectory (107 steps to reach 1)

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

2,828,129 8,484,388 4,242,194 2,121,097 6,363,292 3,181,646 1,590,823 4,772,470 2,386,235 7,158,706 3,579,353 10,738,060 5,369,030 2,684,515 8,053,546 4,026,773 12,080,320 6,040,160 3,020,080 1,510,040 755,020 377,510 188,755 566,266 283,133 849,400 424,700 212,350 106,175 318,526 159,263 477,790 238,895 716,686 358,343 1,075,030 537,515 1,612,546 806,273 2,418,820 1,209,410 604,705 1,814,116 907,058 453,529 1,360,588 680,294 340,147 1,020,442 510,221 1,530,664 765,332 382,666 191,333 574,000 287,000 143,500 71,750 35,875 107,626

More profiles

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