λ
Harmonic Matrix

9,714,155

5 × 11 × 239 × 739
Deficient Odd Composite

9,714,155 has digital root 5. The neighboring primes are 9714137 and 9714163; its proper-divisor sum differs from the starting integer by -6,641,110.

Prime Factor Structure

Factorization String 5 × 11 × 239 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,787,200
Proper Divisor Sum 3,073,045
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9714137 ← → #9714163

Radix Representation

Decimal 9714155
Binary 100101000011100111101011 (24 bits)
Octal 0o45034753
Hexadecimal 0x9439EB

Divisor Catalog (16)

1 5 11 55 239 739 1,195 2,629 3,695 8,129 13,145 40,645 176,621 883,105 1,942,831 9,714,155

Collatz Trajectory (176 steps to reach 1)

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

9,714,155 29,142,466 14,571,233 43,713,700 21,856,850 10,928,425 32,785,276 16,392,638 8,196,319 24,588,958 12,294,479 36,883,438 18,441,719 55,325,158 27,662,579 82,987,738 41,493,869 124,481,608 62,240,804 31,120,402 15,560,201 46,680,604 23,340,302 11,670,151 35,010,454 17,505,227 52,515,682 26,257,841 78,773,524 39,386,762 19,693,381 59,080,144 29,540,072 14,770,036 7,385,018 3,692,509 11,077,528 5,538,764 2,769,382 1,384,691 4,154,074 2,077,037 6,231,112 3,115,556 1,557,778 778,889 2,336,668 1,168,334 584,167 1,752,502 876,251 2,628,754 1,314,377 3,943,132 1,971,566 985,783 2,957,350 1,478,675 4,436,026 2,218,013

More profiles

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