λ
Harmonic Matrix

8,979,709

8979709
Deficient Odd Prime

8,979,709 has digital root 4. The neighboring primes are 8979703 and 8979721; its proper-divisor sum differs from the starting integer by -8,979,708.

Prime Factor Structure

Factorization String 8979709
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,979,710
Proper Divisor Sum 1
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #8979703 ← → #8979721

Radix Representation

Decimal 8979709
Binary 100010010000010011111101 (24 bits)
Octal 0o42202375
Hexadecimal 0x8904FD

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

8,979,709 26,939,128 13,469,564 6,734,782 3,367,391 10,102,174 5,051,087 15,153,262 7,576,631 22,729,894 11,364,947 34,094,842 17,047,421 51,142,264 25,571,132 12,785,566 6,392,783 19,178,350 9,589,175 28,767,526 14,383,763 43,151,290 21,575,645 64,726,936 32,363,468 16,181,734 8,090,867 24,272,602 12,136,301 36,408,904 18,204,452 9,102,226 4,551,113 13,653,340 6,826,670 3,413,335 10,240,006 5,120,003 15,360,010 7,680,005 23,040,016 11,520,008 5,760,004 2,880,002 1,440,001 4,320,004 2,160,002 1,080,001 3,240,004 1,620,002 810,001 2,430,004 1,215,002 607,501 1,822,504 911,252 455,626 227,813 683,440 341,720

More profiles

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