λ
Harmonic Matrix

4,825,251

36 × 6619
Deficient Odd Composite

4,825,251 has digital root 9. The neighboring primes are 4825217 and 4825267; its proper-divisor sum differs from the starting integer by -2,414,842.

Prime Factor Structure

Factorization String 3^6 × 6619
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 7,235,660
Proper Divisor Sum 2,410,409
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4825217 ← → #4825267

Radix Representation

Decimal 4825251
Binary 10010011010000010100011 (23 bits)
Octal 0o22320243
Hexadecimal 0x49A0A3

Divisor Catalog (14)

1 3 9 27 81 243 729 6,619 19,857 59,571 178,713 536,139 1,608,417 4,825,251

Collatz Trajectory (144 steps to reach 1)

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

4,825,251 14,475,754 7,237,877 21,713,632 10,856,816 5,428,408 2,714,204 1,357,102 678,551 2,035,654 1,017,827 3,053,482 1,526,741 4,580,224 2,290,112 1,145,056 572,528 286,264 143,132 71,566 35,783 107,350 53,675 161,026 80,513 241,540 120,770 60,385 181,156 90,578 45,289 135,868 67,934 33,967 101,902 50,951 152,854 76,427 229,282 114,641 343,924 171,962 85,981 257,944 128,972 64,486 32,243 96,730 48,365 145,096 72,548 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608

More profiles

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