λ
Prime Ledger

4,800,501

32 × 533389
Deficient Odd Composite

4,800,501 has the prime decomposition 3^2 × 533389. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 533389
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,934,070
Proper Divisor Sum 2,133,569
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4800487 ← → #4800541

Radix Representation

Decimal 4800501
Binary 10010010011111111110101 (23 bits)
Octal 0o22237765
Hexadecimal 0x493FF5

Divisor Catalog (6)

1 3 9 533,389 1,600,167 4,800,501

Collatz Trajectory (374 steps to reach 1)

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

4,800,501 14,401,504 7,200,752 3,600,376 1,800,188 900,094 450,047 1,350,142 675,071 2,025,214 1,012,607 3,037,822 1,518,911 4,556,734 2,278,367 6,835,102 3,417,551 10,252,654 5,126,327 15,378,982 7,689,491 23,068,474 11,534,237 34,602,712 17,301,356 8,650,678 4,325,339 12,976,018 6,488,009 19,464,028 9,732,014 4,866,007 14,598,022 7,299,011 21,897,034 10,948,517 32,845,552 16,422,776 8,211,388 4,105,694 2,052,847 6,158,542 3,079,271 9,237,814 4,618,907 13,856,722 6,928,361 20,785,084 10,392,542 5,196,271 15,588,814 7,794,407 23,383,222 11,691,611 35,074,834 17,537,417 52,612,252 26,306,126 13,153,063 39,459,190

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