λ
Harmonic Matrix

4,455,279

32 × 163 × 3037
Deficient Odd Composite

4,455,279 has digital root 9. The neighboring primes are 4455259 and 4455301; its proper-divisor sum differs from the starting integer by -2,433,542.

Prime Factor Structure

Factorization String 3^2 × 163 × 3037
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,477,016
Proper Divisor Sum 2,021,737
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4455259 ← → #4455301

Radix Representation

Decimal 4455279
Binary 10000111111101101101111 (23 bits)
Octal 0o20775557
Hexadecimal 0x43FB6F

Divisor Catalog (12)

1 3 9 163 489 1,467 3,037 9,111 27,333 495,031 1,485,093 4,455,279

Collatz Trajectory (118 steps to reach 1)

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

4,455,279 13,365,838 6,682,919 20,048,758 10,024,379 30,073,138 15,036,569 45,109,708 22,554,854 11,277,427 33,832,282 16,916,141 50,748,424 25,374,212 12,687,106 6,343,553 19,030,660 9,515,330 4,757,665 14,272,996 7,136,498 3,568,249 10,704,748 5,352,374 2,676,187 8,028,562 4,014,281 12,042,844 6,021,422 3,010,711 9,032,134 4,516,067 13,548,202 6,774,101 20,322,304 10,161,152 5,080,576 2,540,288 1,270,144 635,072 317,536 158,768 79,384 39,692 19,846 9,923 29,770 14,885 44,656 22,328 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711

More profiles

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