λ
Harmonic Matrix

9,076,878

2 × 32 × 17 × 29663
Abundant Even Composite

9,076,878 has digital root 9. The neighboring primes are 9076871 and 9076883; its proper-divisor sum differs from the starting integer by 2,670,372.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 29663
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,824,128
Proper Divisor Sum 11,747,250
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9076871 ← → #9076883

Radix Representation

Decimal 9076878
Binary 100010101000000010001110 (24 bits)
Octal 0o42500216
Hexadecimal 0x8A808E

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 29,663 59,326 88,989 177,978 266,967 504,271 533,934 1,008,542 1,512,813 3,025,626 4,538,439 9,076,878

Collatz Trajectory (194 steps to reach 1)

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

9,076,878 4,538,439 13,615,318 6,807,659 20,422,978 10,211,489 30,634,468 15,317,234 7,658,617 22,975,852 11,487,926 5,743,963 17,231,890 8,615,945 25,847,836 12,923,918 6,461,959 19,385,878 9,692,939 29,078,818 14,539,409 43,618,228 21,809,114 10,904,557 32,713,672 16,356,836 8,178,418 4,089,209 12,267,628 6,133,814 3,066,907 9,200,722 4,600,361 13,801,084 6,900,542 3,450,271 10,350,814 5,175,407 15,526,222 7,763,111 23,289,334 11,644,667 34,934,002 17,467,001 52,401,004 26,200,502 13,100,251 39,300,754 19,650,377 58,951,132 29,475,566 14,737,783 44,213,350 22,106,675 66,320,026 33,160,013 99,480,040 49,740,020 24,870,010 12,435,005

More profiles

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