λ
Harmonic Matrix

9,568,329

3 × 73 × 43691
Deficient Odd Composite

9,568,329 has digital root 6. The neighboring primes are 9568327 and 9568369; its proper-divisor sum differs from the starting integer by -6,203,826.

Prime Factor Structure

Factorization String 3 × 73 × 43691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,932,832
Proper Divisor Sum 3,364,503
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9568327 ← → #9568369

Radix Representation

Decimal 9568329
Binary 100100100000000001001001 (24 bits)
Octal 0o44400111
Hexadecimal 0x920049

Divisor Catalog (8)

1 3 73 219 43,691 131,073 3,189,443 9,568,329

Collatz Trajectory (238 steps to reach 1)

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

9,568,329 28,704,988 14,352,494 7,176,247 21,528,742 10,764,371 32,293,114 16,146,557 48,439,672 24,219,836 12,109,918 6,054,959 18,164,878 9,082,439 27,247,318 13,623,659 40,870,978 20,435,489 61,306,468 30,653,234 15,326,617 45,979,852 22,989,926 11,494,963 34,484,890 17,242,445 51,727,336 25,863,668 12,931,834 6,465,917 19,397,752 9,698,876 4,849,438 2,424,719 7,274,158 3,637,079 10,911,238 5,455,619 16,366,858 8,183,429 24,550,288 12,275,144 6,137,572 3,068,786 1,534,393 4,603,180 2,301,590 1,150,795 3,452,386 1,726,193 5,178,580 2,589,290 1,294,645 3,883,936 1,941,968 970,984 485,492 242,746 121,373 364,120

More profiles

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