λ
Prime Ledger

5,342,753

13 × 113 × 3637
Deficient Odd Composite

5,342,753 has the prime decomposition 13 × 113 × 3637. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 113 × 3637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,806,248
Proper Divisor Sum 463,495
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5342749 ← → #5342761

Radix Representation

Decimal 5342753
Binary 10100011000011000100001 (23 bits)
Octal 0o24303041
Hexadecimal 0x518621

Divisor Catalog (8)

1 13 113 1,469 3,637 47,281 410,981 5,342,753

Collatz Trajectory (144 steps to reach 1)

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

5,342,753 16,028,260 8,014,130 4,007,065 12,021,196 6,010,598 3,005,299 9,015,898 4,507,949 13,523,848 6,761,924 3,380,962 1,690,481 5,071,444 2,535,722 1,267,861 3,803,584 1,901,792 950,896 475,448 237,724 118,862 59,431 178,294 89,147 267,442 133,721 401,164 200,582 100,291 300,874 150,437 451,312 225,656 112,828 56,414 28,207 84,622 42,311 126,934 63,467 190,402 95,201 285,604 142,802 71,401 214,204 107,102 53,551 160,654 80,327 240,982 120,491 361,474 180,737 542,212 271,106 135,553 406,660 203,330

More profiles

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