λ
Harmonic Matrix

9,329,670

2 × 32 × 5 × 7 × 59 × 251
Abundant Even Composite

9,329,670 has digital root 9. The neighboring primes are 9329647 and 9329681; its proper-divisor sum differs from the starting integer by 9,645,300.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 59 × 251
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 28,304,640
Proper Divisor Sum 18,974,970
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9329647 ← → #9329681

Radix Representation

Decimal 9329670
Binary 100011100101110000000110 (24 bits)
Octal 0o43456006
Hexadecimal 0x8E5C06

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 59 63 70 90 105 118 126 177 210 251 295 315 354 413 502 531 590 630 753 826 885 1,062 1,239 1,255 1,506 1,757 1,770 2,065 2,259 2,478 2,510 2,655 3,514 3,717 3,765 4,130 4,518 5,271 5,310 6,195 7,434 7,530 8,785 10,542

Collatz Trajectory (194 steps to reach 1)

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

9,329,670 4,664,835 13,994,506 6,997,253 20,991,760 10,495,880 5,247,940 2,623,970 1,311,985 3,935,956 1,967,978 983,989 2,951,968 1,475,984 737,992 368,996 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646

More profiles

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