λ
Harmonic Matrix

9,945,071

9945071
Deficient Odd Prime

9,945,071 has digital root 8. The neighboring primes are 9945053 and 9945077; its proper-divisor sum differs from the starting integer by -9,945,070.

Prime Factor Structure

Factorization String 9945071
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,945,072
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9945053 ← → #9945077

Radix Representation

Decimal 9945071
Binary 100101111011111111101111 (24 bits)
Octal 0o45737757
Hexadecimal 0x97BFEF

Divisor Catalog (2)

Collatz Trajectory (114 steps to reach 1)

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

9,945,071 29,835,214 14,917,607 44,752,822 22,376,411 67,129,234 33,564,617 100,693,852 50,346,926 25,173,463 75,520,390 37,760,195 113,280,586 56,640,293 169,920,880 84,960,440 42,480,220 21,240,110 10,620,055 31,860,166 15,930,083 47,790,250 23,895,125 71,685,376 35,842,688 17,921,344 8,960,672 4,480,336 2,240,168 1,120,084 560,042 280,021 840,064 420,032 210,016 105,008 52,504 26,252 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528

More profiles

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