λ
Prime Ledger

5,400,423

32 × 7 × 23 × 3727
Deficient Odd Composite

5,400,423 has the prime decomposition 3^2 × 7 × 23 × 3727. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 3727
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,305,088
Proper Divisor Sum 3,904,665
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5400419 ← → #5400443

Radix Representation

Decimal 5400423
Binary 10100100110011101100111 (23 bits)
Octal 0o24463547
Hexadecimal 0x526767

Divisor Catalog (24)

1 3 7 9 21 23 63 69 161 207 483 1,449 3,727 11,181 26,089 33,543 78,267 85,721 234,801 257,163 600,047 771,489 1,800,141 5,400,423

Collatz Trajectory (206 steps to reach 1)

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

5,400,423 16,201,270 8,100,635 24,301,906 12,150,953 36,452,860 18,226,430 9,113,215 27,339,646 13,669,823 41,009,470 20,504,735 61,514,206 30,757,103 92,271,310 46,135,655 138,406,966 69,203,483 207,610,450 103,805,225 311,415,676 155,707,838 77,853,919 233,561,758 116,780,879 350,342,638 175,171,319 525,513,958 262,756,979 788,270,938 394,135,469 1,182,406,408 591,203,204 295,601,602 147,800,801 443,402,404 221,701,202 110,850,601 332,551,804 166,275,902 83,137,951 249,413,854 124,706,927 374,120,782 187,060,391 561,181,174 280,590,587 841,771,762 420,885,881 1,262,657,644 631,328,822 315,664,411 946,993,234 473,496,617 1,420,489,852 710,244,926 355,122,463 1,065,367,390 532,683,695 1,598,051,086

More profiles

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