λ
Harmonic Matrix

8,059,429

7 × 433 × 2659
Deficient Odd Composite

8,059,429 has digital root 1. The neighboring primes are 8059427 and 8059433; its proper-divisor sum differs from the starting integer by -6,883,338.

Prime Factor Structure

Factorization String 7 × 433 × 2659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,235,520
Proper Divisor Sum 1,176,091
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8059427 ← → #8059433

Radix Representation

Decimal 8059429
Binary 11110101111101000100101 (23 bits)
Octal 0o36575045
Hexadecimal 0x7AFA25

Divisor Catalog (8)

1 7 433 2,659 3,031 18,613 1,151,347 8,059,429

Collatz Trajectory (217 steps to reach 1)

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

8,059,429 24,178,288 12,089,144 6,044,572 3,022,286 1,511,143 4,533,430 2,266,715 6,800,146 3,400,073 10,200,220 5,100,110 2,550,055 7,650,166 3,825,083 11,475,250 5,737,625 17,212,876 8,606,438 4,303,219 12,909,658 6,454,829 19,364,488 9,682,244 4,841,122 2,420,561 7,261,684 3,630,842 1,815,421 5,446,264 2,723,132 1,361,566 680,783 2,042,350 1,021,175 3,063,526 1,531,763 4,595,290 2,297,645 6,892,936 3,446,468 1,723,234 861,617 2,584,852 1,292,426 646,213 1,938,640 969,320 484,660 242,330 121,165 363,496 181,748 90,874 45,437 136,312 68,156 34,078 17,039 51,118

More profiles

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