λ
Prime Ledger

9,402,021

33 × 31 × 47 × 239
Deficient Odd Composite

9,402,021 has the prime decomposition 3^3 × 31 × 47 × 239. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 31 × 47 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,745,600
Proper Divisor Sum 5,343,579
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #9402011 ← → #9402023

Radix Representation

Decimal 9402021
Binary 100011110111011010100101 (24 bits)
Octal 0o43673245
Hexadecimal 0x8F76A5

Divisor Catalog (32)

1 3 9 27 31 47 93 141 239 279 423 717 837 1,269 1,457 2,151 4,371 6,453 7,409 11,233 13,113 22,227 33,699 39,339 66,681 101,097 200,043 303,291 348,223 1,044,669 3,134,007 9,402,021

Collatz Trajectory (238 steps to reach 1)

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

9,402,021 28,206,064 14,103,032 7,051,516 3,525,758 1,762,879 5,288,638 2,644,319 7,932,958 3,966,479 11,899,438 5,949,719 17,849,158 8,924,579 26,773,738 13,386,869 40,160,608 20,080,304 10,040,152 5,020,076 2,510,038 1,255,019 3,765,058 1,882,529 5,647,588 2,823,794 1,411,897 4,235,692 2,117,846 1,058,923 3,176,770 1,588,385 4,765,156 2,382,578 1,191,289 3,573,868 1,786,934 893,467 2,680,402 1,340,201 4,020,604 2,010,302 1,005,151 3,015,454 1,507,727 4,523,182 2,261,591 6,784,774 3,392,387 10,177,162 5,088,581 15,265,744 7,632,872 3,816,436 1,908,218 954,109 2,862,328 1,431,164 715,582 357,791

More profiles

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