λ
Sigma Notebook

9,276,309

33 × 7 × 49081
Deficient Odd Composite

9,276,309 is odd and not a perfect square. Its factorization is 3^3 × 7 × 49081 and its 16 divisors sum to 15,706,240.

Prime Factor Structure

Factorization String 3^3 × 7 × 49081
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,706,240
Proper Divisor Sum 6,429,931
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9276301 ← → #9276353

Radix Representation

Decimal 9276309
Binary 100011011000101110010101 (24 bits)
Octal 0o43305625
Hexadecimal 0x8D8B95

Divisor Catalog (16)

1 3 7 9 21 27 63 189 49,081 147,243 343,567 441,729 1,030,701 1,325,187 3,092,103 9,276,309

Collatz Trajectory (163 steps to reach 1)

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

9,276,309 27,828,928 13,914,464 6,957,232 3,478,616 1,739,308 869,654 434,827 1,304,482 652,241 1,956,724 978,362 489,181 1,467,544 733,772 366,886 183,443 550,330 275,165 825,496 412,748 206,374 103,187 309,562 154,781 464,344 232,172 116,086 58,043 174,130 87,065 261,196 130,598 65,299 195,898 97,949 293,848 146,924 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904 78,452 39,226 19,613 58,840

More profiles

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