λ
Harmonic Matrix

4,562,921

11 × 31 × 13381
Deficient Odd Composite

4,562,921 has digital root 2. The neighboring primes are 4562917 and 4562923; its proper-divisor sum differs from the starting integer by -3,987,154.

Prime Factor Structure

Factorization String 11 × 31 × 13381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,138,688
Proper Divisor Sum 575,767
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4562917 ← → #4562923

Radix Representation

Decimal 4562921
Binary 10001011001111111101001 (23 bits)
Octal 0o21317751
Hexadecimal 0x459FE9

Divisor Catalog (8)

1 11 31 341 13,381 147,191 414,811 4,562,921

Collatz Trajectory (180 steps to reach 1)

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

4,562,921 13,688,764 6,844,382 3,422,191 10,266,574 5,133,287 15,399,862 7,699,931 23,099,794 11,549,897 34,649,692 17,324,846 8,662,423 25,987,270 12,993,635 38,980,906 19,490,453 58,471,360 29,235,680 14,617,840 7,308,920 3,654,460 1,827,230 913,615 2,740,846 1,370,423 4,111,270 2,055,635 6,166,906 3,083,453 9,250,360 4,625,180 2,312,590 1,156,295 3,468,886 1,734,443 5,203,330 2,601,665 7,804,996 3,902,498 1,951,249 5,853,748 2,926,874 1,463,437 4,390,312 2,195,156 1,097,578 548,789 1,646,368 823,184 411,592 205,796 102,898 51,449 154,348 77,174 38,587 115,762 57,881 173,644

More profiles

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