λ
Harmonic Matrix

2,049,037

73 × 28069
Deficient Odd Composite

2,049,037 has digital root 7. The neighboring primes are 2048983 and 2049041; its proper-divisor sum differs from the starting integer by -2,020,894.

Prime Factor Structure

Factorization String 73 × 28069
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,077,180
Proper Divisor Sum 28,143
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2048983 ← → #2049041

Radix Representation

Decimal 2049037
Binary 111110100010000001101 (21 bits)
Octal 0o7642015
Hexadecimal 0x1F440D

Divisor Catalog (4)

1 73 28,069 2,049,037

Collatz Trajectory (153 steps to reach 1)

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

2,049,037 6,147,112 3,073,556 1,536,778 768,389 2,305,168 1,152,584 576,292 288,146 144,073 432,220 216,110 108,055 324,166 162,083 486,250 243,125 729,376 364,688 182,344 91,172 45,586 22,793 68,380 34,190 17,095 51,286 25,643 76,930 38,465 115,396 57,698 28,849 86,548 43,274 21,637 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364

More profiles

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