λ
Harmonic Matrix

9,284,023

7 × 17 × 78017
Deficient Odd Composite

9,284,023 has digital root 1. The neighboring primes are 9283993 and 9284029; its proper-divisor sum differs from the starting integer by -7,333,454.

Prime Factor Structure

Factorization String 7 × 17 × 78017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,234,592
Proper Divisor Sum 1,950,569
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9283993 ← → #9284029

Radix Representation

Decimal 9284023
Binary 100011011010100110110111 (24 bits)
Octal 0o43324667
Hexadecimal 0x8DA9B7

Divisor Catalog (8)

1 7 17 119 78,017 546,119 1,326,289 9,284,023

Collatz Trajectory (101 steps to reach 1)

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

9,284,023 27,852,070 13,926,035 41,778,106 20,889,053 62,667,160 31,333,580 15,666,790 7,833,395 23,500,186 11,750,093 35,250,280 17,625,140 8,812,570 4,406,285 13,218,856 6,609,428 3,304,714 1,652,357 4,957,072 2,478,536 1,239,268 619,634 309,817 929,452 464,726 232,363 697,090 348,545 1,045,636 522,818 261,409 784,228 392,114 196,057 588,172 294,086 147,043 441,130 220,565 661,696 330,848 165,424 82,712 41,356 20,678 10,339 31,018 15,509 46,528 23,264 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637

More profiles

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