λ
Harmonic Matrix

3,964,833

32 × 440537
Deficient Odd Composite

3,964,833 has digital root 9. The neighboring primes are 3964819 and 3964837; its proper-divisor sum differs from the starting integer by -2,202,672.

Prime Factor Structure

Factorization String 3^2 × 440537
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,726,994
Proper Divisor Sum 1,762,161
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3964819 ← → #3964837

Radix Representation

Decimal 3964833
Binary 1111000111111110100001 (22 bits)
Octal 0o17077641
Hexadecimal 0x3C7FA1

Divisor Catalog (6)

1 3 9 440,537 1,321,611 3,964,833

Collatz Trajectory (167 steps to reach 1)

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

3,964,833 11,894,500 5,947,250 2,973,625 8,920,876 4,460,438 2,230,219 6,690,658 3,345,329 10,035,988 5,017,994 2,508,997 7,526,992 3,763,496 1,881,748 940,874 470,437 1,411,312 705,656 352,828 176,414 88,207 264,622 132,311 396,934 198,467 595,402 297,701 893,104 446,552 223,276 111,638 55,819 167,458 83,729 251,188 125,594 62,797 188,392 94,196 47,098 23,549 70,648 35,324 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902

More profiles

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