λ
Sigma Notebook

2,828,731

2828731
Deficient Odd Prime

2,828,731 is odd and not a perfect square. Its factorization is 2828731 and its 2 divisors sum to 2,828,732.

Prime Factor Structure

Factorization String 2828731
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,828,732
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2828717 ← → #2828741

Radix Representation

Decimal 2828731
Binary 1010110010100110111011 (22 bits)
Octal 0o12624673
Hexadecimal 0x2B29BB

Divisor Catalog (2)

Collatz Trajectory (76 steps to reach 1)

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

2,828,731 8,486,194 4,243,097 12,729,292 6,364,646 3,182,323 9,546,970 4,773,485 14,320,456 7,160,228 3,580,114 1,790,057 5,370,172 2,685,086 1,342,543 4,027,630 2,013,815 6,041,446 3,020,723 9,062,170 4,531,085 13,593,256 6,796,628 3,398,314 1,699,157 5,097,472 2,548,736 1,274,368 637,184 318,592 159,296 79,648 39,824 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14

More profiles

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