λ
Harmonic Matrix

4,837,204

22 × 53 × 22817
Deficient Even Composite

4,837,204 has digital root 1. The neighboring primes are 4837201 and 4837213; its proper-divisor sum differs from the starting integer by -1,049,204.

Prime Factor Structure

Factorization String 2^2 × 53 × 22817
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,625,204
Proper Divisor Sum 3,788,000
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4837201 ← → #4837213

Radix Representation

Decimal 4837204
Binary 10010011100111101010100 (23 bits)
Octal 0o22347524
Hexadecimal 0x49CF54

Divisor Catalog (12)

1 2 4 53 106 212 22,817 45,634 91,268 1,209,301 2,418,602 4,837,204

Collatz Trajectory (162 steps to reach 1)

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

4,837,204 2,418,602 1,209,301 3,627,904 1,813,952 906,976 453,488 226,744 113,372 56,686 28,343 85,030 42,515 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143

More profiles

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