λ
Harmonic Matrix

4,725,804

22 × 3 × 109 × 3613
Abundant Even Composite

4,725,804 has digital root 3. The neighboring primes are 4725781 and 4725821; its proper-divisor sum differs from the starting integer by 1,679,512.

Prime Factor Structure

Factorization String 2^2 × 3 × 109 × 3613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,131,120
Proper Divisor Sum 6,405,316
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4725781 ← → #4725821

Radix Representation

Decimal 4725804
Binary 10010000001110000101100 (23 bits)
Octal 0o22016054
Hexadecimal 0x481C2C

Divisor Catalog (24)

1 2 3 4 6 12 109 218 327 436 654 1,308 3,613 7,226 10,839 14,452 21,678 43,356 393,817 787,634 1,181,451 1,575,268 2,362,902 4,725,804

Collatz Trajectory (237 steps to reach 1)

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

4,725,804 2,362,902 1,181,451 3,544,354 1,772,177 5,316,532 2,658,266 1,329,133 3,987,400 1,993,700 996,850 498,425 1,495,276 747,638 373,819 1,121,458 560,729 1,682,188 841,094 420,547 1,261,642 630,821 1,892,464 946,232 473,116 236,558 118,279 354,838 177,419 532,258 266,129 798,388 399,194 199,597 598,792 299,396 149,698 74,849 224,548 112,274 56,137 168,412 84,206 42,103 126,310 63,155 189,466 94,733 284,200 142,100 71,050 35,525 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996

More profiles

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