λ
Harmonic Matrix

3,562,854

2 × 3 × 163 × 3643
Abundant Even Composite

3,562,854 has digital root 6. The neighboring primes are 3562849 and 3562901; its proper-divisor sum differs from the starting integer by 45,684.

Prime Factor Structure

Factorization String 2 × 3 × 163 × 3643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,171,392
Proper Divisor Sum 3,608,538
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3562849 ← → #3562901

Radix Representation

Decimal 3562854
Binary 1101100101110101100110 (22 bits)
Octal 0o15456546
Hexadecimal 0x365D66

Divisor Catalog (16)

1 2 3 6 163 326 489 978 3,643 7,286 10,929 21,858 593,809 1,187,618 1,781,427 3,562,854

Collatz Trajectory (97 steps to reach 1)

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

3,562,854 1,781,427 5,344,282 2,672,141 8,016,424 4,008,212 2,004,106 1,002,053 3,006,160 1,503,080 751,540 375,770 187,885 563,656 281,828 140,914 70,457 211,372 105,686 52,843 158,530 79,265 237,796 118,898 59,449 178,348 89,174 44,587 133,762 66,881 200,644 100,322 50,161 150,484 75,242 37,621 112,864 56,432 28,216 14,108 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628

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