λ
Harmonic Matrix

9,944,361

32 × 7 × 29 × 5443
Deficient Odd Composite

9,944,361 has digital root 9. The neighboring primes are 9944357 and 9944377; its proper-divisor sum differs from the starting integer by -2,903,442.

Prime Factor Structure

Factorization String 3^2 × 7 × 29 × 5443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,985,280
Proper Divisor Sum 7,040,919
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9944357 ← → #9944377

Radix Representation

Decimal 9944361
Binary 100101111011110100101001 (24 bits)
Octal 0o45736451
Hexadecimal 0x97BD29

Divisor Catalog (24)

1 3 7 9 21 29 63 87 203 261 609 1,827 5,443 16,329 38,101 48,987 114,303 157,847 342,909 473,541 1,104,929 1,420,623 3,314,787 9,944,361

Collatz Trajectory (313 steps to reach 1)

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

9,944,361 29,833,084 14,916,542 7,458,271 22,374,814 11,187,407 33,562,222 16,781,111 50,343,334 25,171,667 75,515,002 37,757,501 113,272,504 56,636,252 28,318,126 14,159,063 42,477,190 21,238,595 63,715,786 31,857,893 95,573,680 47,786,840 23,893,420 11,946,710 5,973,355 17,920,066 8,960,033 26,880,100 13,440,050 6,720,025 20,160,076 10,080,038 5,040,019 15,120,058 7,560,029 22,680,088 11,340,044 5,670,022 2,835,011 8,505,034 4,252,517 12,757,552 6,378,776 3,189,388 1,594,694 797,347 2,392,042 1,196,021 3,588,064 1,794,032 897,016 448,508 224,254 112,127 336,382 168,191 504,574 252,287 756,862 378,431

More profiles

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