λ
Harmonic Matrix

9,241,078

2 × 7 × 11 × 23 × 2609
Deficient Even Composite

9,241,078 has digital root 4. The neighboring primes are 9241039 and 9241079; its proper-divisor sum differs from the starting integer by -441,836.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 23 × 2609
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,040,320
Proper Divisor Sum 8,799,242
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9241039 ← → #9241079

Radix Representation

Decimal 9241078
Binary 100011010000000111110110 (24 bits)
Octal 0o43200766
Hexadecimal 0x8D01F6

Divisor Catalog (32)

1 2 7 11 14 22 23 46 77 154 161 253 322 506 1,771 2,609 3,542 5,218 18,263 28,699 36,526 57,398 60,007 120,014 200,893 401,786 420,049 660,077 840,098 1,320,154 4,620,539 9,241,078

Collatz Trajectory (163 steps to reach 1)

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

9,241,078 4,620,539 13,861,618 6,930,809 20,792,428 10,396,214 5,198,107 15,594,322 7,797,161 23,391,484 11,695,742 5,847,871 17,543,614 8,771,807 26,315,422 13,157,711 39,473,134 19,736,567 59,209,702 29,604,851 88,814,554 44,407,277 133,221,832 66,610,916 33,305,458 16,652,729 49,958,188 24,979,094 12,489,547 37,468,642 18,734,321 56,202,964 28,101,482 14,050,741 42,152,224 21,076,112 10,538,056 5,269,028 2,634,514 1,317,257 3,951,772 1,975,886 987,943 2,963,830 1,481,915 4,445,746 2,222,873 6,668,620 3,334,310 1,667,155 5,001,466 2,500,733 7,502,200 3,751,100 1,875,550 937,775 2,813,326 1,406,663 4,219,990 2,109,995

More profiles

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