λ
Sigma Notebook

2,567,629

17 × 73 × 2069
Deficient Odd Composite

2,567,629 is odd and not a perfect square. Its factorization is 17 × 73 × 2069 and its 8 divisors sum to 2,757,240.

Prime Factor Structure

Factorization String 17 × 73 × 2069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,757,240
Proper Divisor Sum 189,611
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2567627 ← → #2567633

Radix Representation

Decimal 2567629
Binary 1001110010110111001101 (22 bits)
Octal 0o11626715
Hexadecimal 0x272DCD

Divisor Catalog (8)

1 17 73 1,241 2,069 35,173 151,037 2,567,629

Collatz Trajectory (55 steps to reach 1)

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

2,567,629 7,702,888 3,851,444 1,925,722 962,861 2,888,584 1,444,292 722,146 361,073 1,083,220 541,610 270,805 812,416 406,208 203,104 101,552 50,776 25,388 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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