λ
Harmonic Matrix

9,680,602

2 × 59 × 82039
Deficient Even Composite

9,680,602 has digital root 4. The neighboring primes are 9680591 and 9680623; its proper-divisor sum differs from the starting integer by -4,594,004.

Prime Factor Structure

Factorization String 2 × 59 × 82039
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,767,200
Proper Divisor Sum 5,086,598
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9680591 ← → #9680623

Radix Representation

Decimal 9680602
Binary 100100111011011011011010 (24 bits)
Octal 0o44733332
Hexadecimal 0x93B6DA

Divisor Catalog (8)

1 2 59 118 82,039 164,078 4,840,301 9,680,602

Collatz Trajectory (238 steps to reach 1)

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

9,680,602 4,840,301 14,520,904 7,260,452 3,630,226 1,815,113 5,445,340 2,722,670 1,361,335 4,084,006 2,042,003 6,126,010 3,063,005 9,189,016 4,594,508 2,297,254 1,148,627 3,445,882 1,722,941 5,168,824 2,584,412 1,292,206 646,103 1,938,310 969,155 2,907,466 1,453,733 4,361,200 2,180,600 1,090,300 545,150 272,575 817,726 408,863 1,226,590 613,295 1,839,886 919,943 2,759,830 1,379,915 4,139,746 2,069,873 6,209,620 3,104,810 1,552,405 4,657,216 2,328,608 1,164,304 582,152 291,076 145,538 72,769 218,308 109,154 54,577 163,732 81,866 40,933 122,800 61,400

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