λ
Prime Ledger

9,936,321

3 × 3312107
Deficient Odd Composite

9,936,321 has the prime decomposition 3 × 3312107. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 3312107
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,248,432
Proper Divisor Sum 3,312,111
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9936319 ← → #9936343

Radix Representation

Decimal 9936321
Binary 100101111001110111000001 (24 bits)
Octal 0o45716701
Hexadecimal 0x979DC1

Divisor Catalog (4)

1 3 3,312,107 9,936,321

Collatz Trajectory (176 steps to reach 1)

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

9,936,321 29,808,964 14,904,482 7,452,241 22,356,724 11,178,362 5,589,181 16,767,544 8,383,772 4,191,886 2,095,943 6,287,830 3,143,915 9,431,746 4,715,873 14,147,620 7,073,810 3,536,905 10,610,716 5,305,358 2,652,679 7,958,038 3,979,019 11,937,058 5,968,529 17,905,588 8,952,794 4,476,397 13,429,192 6,714,596 3,357,298 1,678,649 5,035,948 2,517,974 1,258,987 3,776,962 1,888,481 5,665,444 2,832,722 1,416,361 4,249,084 2,124,542 1,062,271 3,186,814 1,593,407 4,780,222 2,390,111 7,170,334 3,585,167 10,755,502 5,377,751 16,133,254 8,066,627 24,199,882 12,099,941 36,299,824 18,149,912 9,074,956 4,537,478 2,268,739

More profiles

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