λ
Harmonic Matrix

9,564,069

3 × 1319 × 2417
Deficient Odd Composite

9,564,069 has digital root 3. The neighboring primes are 9564059 and 9564073; its proper-divisor sum differs from the starting integer by -6,361,098.

Prime Factor Structure

Factorization String 3 × 1319 × 2417
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,767,040
Proper Divisor Sum 3,202,971
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9564059 ← → #9564073

Radix Representation

Decimal 9564069
Binary 100100011110111110100101 (24 bits)
Octal 0o44367645
Hexadecimal 0x91EFA5

Divisor Catalog (8)

1 3 1,319 2,417 3,957 7,251 3,188,023 9,564,069

Collatz Trajectory (150 steps to reach 1)

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

9,564,069 28,692,208 14,346,104 7,173,052 3,586,526 1,793,263 5,379,790 2,689,895 8,069,686 4,034,843 12,104,530 6,052,265 18,156,796 9,078,398 4,539,199 13,617,598 6,808,799 20,426,398 10,213,199 30,639,598 15,319,799 45,959,398 22,979,699 68,939,098 34,469,549 103,408,648 51,704,324 25,852,162 12,926,081 38,778,244 19,389,122 9,694,561 29,083,684 14,541,842 7,270,921 21,812,764 10,906,382 5,453,191 16,359,574 8,179,787 24,539,362 12,269,681 36,809,044 18,404,522 9,202,261 27,606,784 13,803,392 6,901,696 3,450,848 1,725,424 862,712 431,356 215,678 107,839 323,518 161,759 485,278 242,639 727,918 363,959

More profiles

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