λ
Harmonic Matrix

4,825,011

3 × 1608337
Deficient Odd Composite

4,825,011 has digital root 3. The neighboring primes are 4825001 and 4825013; its proper-divisor sum differs from the starting integer by -3,216,670.

Prime Factor Structure

Factorization String 3 × 1608337
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,433,352
Proper Divisor Sum 1,608,341
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4825001 ← → #4825013

Radix Representation

Decimal 4825011
Binary 10010011001111110110011 (23 bits)
Octal 0o22317663
Hexadecimal 0x499FB3

Divisor Catalog (4)

1 3 1,608,337 4,825,011

Collatz Trajectory (144 steps to reach 1)

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

4,825,011 14,475,034 7,237,517 21,712,552 10,856,276 5,428,138 2,714,069 8,142,208 4,071,104 2,035,552 1,017,776 508,888 254,444 127,222 63,611 190,834 95,417 286,252 143,126 71,563 214,690 107,345 322,036 161,018 80,509 241,528 120,764 60,382 30,191 90,574 45,287 135,862 67,931 203,794 101,897 305,692 152,846 76,423 229,270 114,635 343,906 171,953 515,860 257,930 128,965 386,896 193,448 96,724 48,362 24,181 72,544 36,272 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102

More profiles

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