λ
Harmonic Matrix

2,359,009

37 × 103 × 619
Deficient Odd Composite

2,359,009 has digital root 1. The neighboring primes are 2359001 and 2359013; its proper-divisor sum differs from the starting integer by -2,267,778.

Prime Factor Structure

Factorization String 37 × 103 × 619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,450,240
Proper Divisor Sum 91,231
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2359001 ← → #2359013

Radix Representation

Decimal 2359009
Binary 1000111111111011100001 (22 bits)
Octal 0o10777341
Hexadecimal 0x23FEE1

Divisor Catalog (8)

1 37 103 619 3,811 22,903 63,757 2,359,009

Collatz Trajectory (161 steps to reach 1)

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

2,359,009 7,077,028 3,538,514 1,769,257 5,307,772 2,653,886 1,326,943 3,980,830 1,990,415 5,971,246 2,985,623 8,956,870 4,478,435 13,435,306 6,717,653 20,152,960 10,076,480 5,038,240 2,519,120 1,259,560 629,780 314,890 157,445 472,336 236,168 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788

More profiles

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