λ
Harmonic Matrix

4,820,450

2 × 52 × 229 × 421
Deficient Even Composite

4,820,450 has digital root 5. The neighboring primes are 4820447 and 4820479; its proper-divisor sum differs from the starting integer by -614,320.

Prime Factor Structure

Factorization String 2 × 5^2 × 229 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,026,580
Proper Divisor Sum 4,206,130
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4820447 ← → #4820479

Radix Representation

Decimal 4820450
Binary 10010011000110111100010 (23 bits)
Octal 0o22306742
Hexadecimal 0x498DE2

Divisor Catalog (24)

1 2 5 10 25 50 229 421 458 842 1,145 2,105 2,290 4,210 5,725 10,525 11,450 21,050 96,409 192,818 482,045 964,090 2,410,225 4,820,450

Collatz Trajectory (92 steps to reach 1)

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

4,820,450 2,410,225 7,230,676 3,615,338 1,807,669 5,423,008 2,711,504 1,355,752 677,876 338,938 169,469 508,408 254,204 127,102 63,551 190,654 95,327 285,982 142,991 428,974 214,487 643,462 321,731 965,194 482,597 1,447,792 723,896 361,948 180,974 90,487 271,462 135,731 407,194 203,597 610,792 305,396 152,698 76,349 229,048 114,524 57,262 28,631 85,894 42,947 128,842 64,421 193,264 96,632 48,316 24,158 12,079 36,238 18,119 54,358 27,179 81,538 40,769 122,308 61,154 30,577

More profiles

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