λ
Harmonic Matrix

3,631,189

53 × 131 × 523
Deficient Odd Composite

3,631,189 has digital root 4. The neighboring primes are 3631181 and 3631211; its proper-divisor sum differs from the starting integer by -3,527,306.

Prime Factor Structure

Factorization String 53 × 131 × 523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,735,072
Proper Divisor Sum 103,883
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3631181 ← → #3631211

Radix Representation

Decimal 3631189
Binary 1101110110100001010101 (22 bits)
Octal 0o15664125
Hexadecimal 0x376855

Divisor Catalog (8)

1 53 131 523 6,943 27,719 68,513 3,631,189

Collatz Trajectory (110 steps to reach 1)

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

3,631,189 10,893,568 5,446,784 2,723,392 1,361,696 680,848 340,424 170,212 85,106 42,553 127,660 63,830 31,915 95,746 47,873 143,620 71,810 35,905 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641

More profiles

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