λ
Harmonic Matrix

5,438,913

3 × 53 × 79 × 433
Deficient Odd Composite

5,438,913 has digital root 6. The neighboring primes are 5438903 and 5438969; its proper-divisor sum differs from the starting integer by -3,378,306.

Prime Factor Structure

Factorization String 3 × 53 × 79 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,499,520
Proper Divisor Sum 2,060,607
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5438903 ← → #5438969

Radix Representation

Decimal 5438913
Binary 10100101111110111000001 (23 bits)
Octal 0o24576701
Hexadecimal 0x52FDC1

Divisor Catalog (16)

1 3 53 79 159 237 433 1,299 4,187 12,561 22,949 34,207 68,847 102,621 1,812,971 5,438,913

Collatz Trajectory (139 steps to reach 1)

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

5,438,913 16,316,740 8,158,370 4,079,185 12,237,556 6,118,778 3,059,389 9,178,168 4,589,084 2,294,542 1,147,271 3,441,814 1,720,907 5,162,722 2,581,361 7,744,084 3,872,042 1,936,021 5,808,064 2,904,032 1,452,016 726,008 363,004 181,502 90,751 272,254 136,127 408,382 204,191 612,574 306,287 918,862 459,431 1,378,294 689,147 2,067,442 1,033,721 3,101,164 1,550,582 775,291 2,325,874 1,162,937 3,488,812 1,744,406 872,203 2,616,610 1,308,305 3,924,916 1,962,458 981,229 2,943,688 1,471,844 735,922 367,961 1,103,884 551,942 275,971 827,914 413,957 1,241,872

More profiles

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