λ
Harmonic Matrix

1,540,118

2 × 770059
Deficient Even Composite

1,540,118 has digital root 2. The neighboring primes are 1540109 and 1540141; its proper-divisor sum differs from the starting integer by -770,056.

Prime Factor Structure

Factorization String 2 × 770059
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,310,180
Proper Divisor Sum 770,062
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1540109 ← → #1540141

Radix Representation

Decimal 1540118
Binary 101111000000000010110 (21 bits)
Octal 0o5700026
Hexadecimal 0x178016

Divisor Catalog (4)

1 2 770,059 1,540,118

Collatz Trajectory (150 steps to reach 1)

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

1,540,118 770,059 2,310,178 1,155,089 3,465,268 1,732,634 866,317 2,598,952 1,299,476 649,738 324,869 974,608 487,304 243,652 121,826 60,913 182,740 91,370 45,685 137,056 68,528 34,264 17,132 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274

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