λ
Harmonic Matrix

4,149,364

22 × 41 × 25301
Deficient Even Composite

4,149,364 has digital root 4. The neighboring primes are 4149359 and 4149367; its proper-divisor sum differs from the starting integer by -859,940.

Prime Factor Structure

Factorization String 2^2 × 41 × 25301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,438,788
Proper Divisor Sum 3,289,424
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4149359 ← → #4149367

Radix Representation

Decimal 4149364
Binary 1111110101000001110100 (22 bits)
Octal 0o17650164
Hexadecimal 0x3F5074

Divisor Catalog (12)

1 2 4 41 82 164 25,301 50,602 101,204 1,037,341 2,074,682 4,149,364

Collatz Trajectory (79 steps to reach 1)

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

4,149,364 2,074,682 1,037,341 3,112,024 1,556,012 778,006 389,003 1,167,010 583,505 1,750,516 875,258 437,629 1,312,888 656,444 328,222 164,111 492,334 246,167 738,502 369,251 1,107,754 553,877 1,661,632 830,816 415,408 207,704 103,852 51,926 25,963 77,890 38,945 116,836 58,418 29,209 87,628 43,814 21,907 65,722 32,861 98,584 49,292 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122

More profiles

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