3,089,827

13² × 47 × 389

For 3,089,827, the 12 positive divisors have a total of 3,425,760. Removing 3,089,827 leaves 335,933, which gives the deficient classification.

Prime Factor Structure

Factorization String 13^2 × 47 × 389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,425,760

Proper Divisor Sum 335,933

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3089803 ← → #3089857

Radix Representation

Decimal	3089827
Binary	1011110010010110100011 (22 bits)
Octal	0o13622643
Hexadecimal	0x2F25A3

Divisor Catalog (12)

1 13 47 169 389 611 5,057 7,943 18,283 65,741 237,679 3,089,827

Collatz Trajectory (102 steps to reach 1)

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

3,089,827 9,269,482 4,634,741 13,904,224 6,952,112 3,476,056 1,738,028 869,014 434,507 1,303,522 651,761 1,955,284 977,642 488,821 1,466,464 733,232 366,616 183,308 91,654 45,827 137,482 68,741 206,224 103,112 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268

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