λ
Harmonic Matrix

5,676,609

3 × 1892203
Deficient Odd Composite

5,676,609 has digital root 3. The neighboring primes are 5676571 and 5676617; its proper-divisor sum differs from the starting integer by -3,784,402.

Prime Factor Structure

Factorization String 3 × 1892203
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,568,816
Proper Divisor Sum 1,892,207
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5676571 ← → #5676617

Radix Representation

Decimal 5676609
Binary 10101101001111001000001 (23 bits)
Octal 0o25517101
Hexadecimal 0x569E41

Divisor Catalog (4)

1 3 1,892,203 5,676,609

Collatz Trajectory (201 steps to reach 1)

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

5,676,609 17,029,828 8,514,914 4,257,457 12,772,372 6,386,186 3,193,093 9,579,280 4,789,640 2,394,820 1,197,410 598,705 1,796,116 898,058 449,029 1,347,088 673,544 336,772 168,386 84,193 252,580 126,290 63,145 189,436 94,718 47,359 142,078 71,039 213,118 106,559 319,678 159,839 479,518 239,759 719,278 359,639 1,078,918 539,459 1,618,378 809,189 2,427,568 1,213,784 606,892 303,446 151,723 455,170 227,585 682,756 341,378 170,689 512,068 256,034 128,017 384,052 192,026 96,013 288,040 144,020 72,010 36,005

More profiles

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