λ
Harmonic Matrix

9,333,621

32 × 11 × 29 × 3251
Deficient Odd Composite

9,333,621 has digital root 9. The neighboring primes are 9333581 and 9333637; its proper-divisor sum differs from the starting integer by -3,447,882.

Prime Factor Structure

Factorization String 3^2 × 11 × 29 × 3251
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,219,360
Proper Divisor Sum 5,885,739
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9333581 ← → #9333637

Radix Representation

Decimal 9333621
Binary 100011100110101101110101 (24 bits)
Octal 0o43465565
Hexadecimal 0x8E6B75

Divisor Catalog (24)

1 3 9 11 29 33 87 99 261 319 957 2,871 3,251 9,753 29,259 35,761 94,279 107,283 282,837 321,849 848,511 1,037,069 3,111,207 9,333,621

Collatz Trajectory (132 steps to reach 1)

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

9,333,621 28,000,864 14,000,432 7,000,216 3,500,108 1,750,054 875,027 2,625,082 1,312,541 3,937,624 1,968,812 984,406 492,203 1,476,610 738,305 2,214,916 1,107,458 553,729 1,661,188 830,594 415,297 1,245,892 622,946 311,473 934,420 467,210 233,605 700,816 350,408 175,204 87,602 43,801 131,404 65,702 32,851 98,554 49,277 147,832 73,916 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204

More profiles

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