λ
Harmonic Matrix

4,725,443

67 × 70529
Deficient Odd Composite

4,725,443 has digital root 2. The neighboring primes are 4725437 and 4725451; its proper-divisor sum differs from the starting integer by -4,654,846.

Prime Factor Structure

Factorization String 67 × 70529
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,796,040
Proper Divisor Sum 70,597
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4725437 ← → #4725451

Radix Representation

Decimal 4725443
Binary 10010000001101011000011 (23 bits)
Octal 0o22015303
Hexadecimal 0x481AC3

Divisor Catalog (4)

1 67 70,529 4,725,443

Collatz Trajectory (149 steps to reach 1)

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

4,725,443 14,176,330 7,088,165 21,264,496 10,632,248 5,316,124 2,658,062 1,329,031 3,987,094 1,993,547 5,980,642 2,990,321 8,970,964 4,485,482 2,242,741 6,728,224 3,364,112 1,682,056 841,028 420,514 210,257 630,772 315,386 157,693 473,080 236,540 118,270 59,135 177,406 88,703 266,110 133,055 399,166 199,583 598,750 299,375 898,126 449,063 1,347,190 673,595 2,020,786 1,010,393 3,031,180 1,515,590 757,795 2,273,386 1,136,693 3,410,080 1,705,040 852,520 426,260 213,130 106,565 319,696 159,848 79,924 39,962 19,981 59,944 29,972

More profiles

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