λ
Harmonic Matrix

9,664,083

33 × 11 × 13 × 2503
Deficient Odd Composite

9,664,083 has digital root 9. The neighboring primes are 9664063 and 9664091; its proper-divisor sum differs from the starting integer by -2,501,286.

Prime Factor Structure

Factorization String 3^3 × 11 × 13 × 2503
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,826,880
Proper Divisor Sum 7,162,797
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9664063 ← → #9664091

Radix Representation

Decimal 9664083
Binary 100100110111011001010011 (24 bits)
Octal 0o44673123
Hexadecimal 0x937653

Divisor Catalog (32)

1 3 9 11 13 27 33 39 99 117 143 297 351 429 1,287 2,503 3,861 7,509 22,527 27,533 32,539 67,581 82,599 97,617 247,797 292,851 357,929 743,391 878,553 1,073,787 3,221,361 9,664,083

Collatz Trajectory (238 steps to reach 1)

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

9,664,083 28,992,250 14,496,125 43,488,376 21,744,188 10,872,094 5,436,047 16,308,142 8,154,071 24,462,214 12,231,107 36,693,322 18,346,661 55,039,984 27,519,992 13,759,996 6,879,998 3,439,999 10,319,998 5,159,999 15,479,998 7,739,999 23,219,998 11,609,999 34,829,998 17,414,999 52,244,998 26,122,499 78,367,498 39,183,749 117,551,248 58,775,624 29,387,812 14,693,906 7,346,953 22,040,860 11,020,430 5,510,215 16,530,646 8,265,323 24,795,970 12,397,985 37,193,956 18,596,978 9,298,489 27,895,468 13,947,734 6,973,867 20,921,602 10,460,801 31,382,404 15,691,202 7,845,601 23,536,804 11,768,402 5,884,201 17,652,604 8,826,302 4,413,151 13,239,454

More profiles

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