λ
Harmonic Matrix

3,599,780

22 × 5 × 179989
Abundant Even Composite

3,599,780 has digital root 5. The neighboring primes are 3599779 and 3599821; its proper-divisor sum differs from the starting integer by 360,020.

Prime Factor Structure

Factorization String 2^2 × 5 × 179989
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,559,580
Proper Divisor Sum 3,959,800
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3599779 ← → #3599821

Radix Representation

Decimal 3599780
Binary 1101101110110110100100 (22 bits)
Octal 0o15566644
Hexadecimal 0x36EDA4

Divisor Catalog (12)

1 2 4 5 10 20 179,989 359,978 719,956 899,945 1,799,890 3,599,780

Collatz Trajectory (141 steps to reach 1)

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

3,599,780 1,799,890 899,945 2,699,836 1,349,918 674,959 2,024,878 1,012,439 3,037,318 1,518,659 4,555,978 2,277,989 6,833,968 3,416,984 1,708,492 854,246 427,123 1,281,370 640,685 1,922,056 961,028 480,514 240,257 720,772 360,386 180,193 540,580 270,290 135,145 405,436 202,718 101,359 304,078 152,039 456,118 228,059 684,178 342,089 1,026,268 513,134 256,567 769,702 384,851 1,154,554 577,277 1,731,832 865,916 432,958 216,479 649,438 324,719 974,158 487,079 1,461,238 730,619 2,191,858 1,095,929 3,287,788 1,643,894 821,947

More profiles

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