λ
Harmonic Matrix

4,496,337

33 × 241 × 691
Deficient Odd Composite

4,496,337 has digital root 9. The neighboring primes are 4496329 and 4496341; its proper-divisor sum differs from the starting integer by -2,294,114.

Prime Factor Structure

Factorization String 3^3 × 241 × 691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,698,560
Proper Divisor Sum 2,202,223
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4496329 ← → #4496341

Radix Representation

Decimal 4496337
Binary 10001001001101111010001 (23 bits)
Octal 0o21115721
Hexadecimal 0x449BD1

Divisor Catalog (16)

1 3 9 27 241 691 723 2,073 2,169 6,219 6,507 18,657 166,531 499,593 1,498,779 4,496,337

Collatz Trajectory (211 steps to reach 1)

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

4,496,337 13,489,012 6,744,506 3,372,253 10,116,760 5,058,380 2,529,190 1,264,595 3,793,786 1,896,893 5,690,680 2,845,340 1,422,670 711,335 2,134,006 1,067,003 3,201,010 1,600,505 4,801,516 2,400,758 1,200,379 3,601,138 1,800,569 5,401,708 2,700,854 1,350,427 4,051,282 2,025,641 6,076,924 3,038,462 1,519,231 4,557,694 2,278,847 6,836,542 3,418,271 10,254,814 5,127,407 15,382,222 7,691,111 23,073,334 11,536,667 34,610,002 17,305,001 51,915,004 25,957,502 12,978,751 38,936,254 19,468,127 58,404,382 29,202,191 87,606,574 43,803,287 131,409,862 65,704,931 197,114,794 98,557,397 295,672,192 147,836,096 73,918,048 36,959,024

More profiles

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