λ
Harmonic Matrix

3,544,761

3 × 11 × 163 × 659
Deficient Odd Composite

3,544,761 has digital root 3. The neighboring primes are 3544759 and 3544763; its proper-divisor sum differs from the starting integer by -1,894,002.

Prime Factor Structure

Factorization String 3 × 11 × 163 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,195,520
Proper Divisor Sum 1,650,759
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3544759 ← → #3544763

Radix Representation

Decimal 3544761
Binary 1101100001011010111001 (22 bits)
Octal 0o15413271
Hexadecimal 0x3616B9

Divisor Catalog (16)

1 3 11 33 163 489 659 1,793 1,977 5,379 7,249 21,747 107,417 322,251 1,181,587 3,544,761

Collatz Trajectory (146 steps to reach 1)

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

3,544,761 10,634,284 5,317,142 2,658,571 7,975,714 3,987,857 11,963,572 5,981,786 2,990,893 8,972,680 4,486,340 2,243,170 1,121,585 3,364,756 1,682,378 841,189 2,523,568 1,261,784 630,892 315,446 157,723 473,170 236,585 709,756 354,878 177,439 532,318 266,159 798,478 399,239 1,197,718 598,859 1,796,578 898,289 2,694,868 1,347,434 673,717 2,021,152 1,010,576 505,288 252,644 126,322 63,161 189,484 94,742 47,371 142,114 71,057 213,172 106,586 53,293 159,880 79,940 39,970 19,985 59,956 29,978 14,989 44,968 22,484

More profiles

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