λ
Harmonic Matrix

4,050,126

2 × 32 × 223 × 1009
Abundant Even Composite

4,050,126 has digital root 9. The neighboring primes are 4050121 and 4050133; its proper-divisor sum differs from the starting integer by 723,108.

Prime Factor Structure

Factorization String 2 × 3^2 × 223 × 1009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,823,360
Proper Divisor Sum 4,773,234
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4050121 ← → #4050133

Radix Representation

Decimal 4050126
Binary 1111011100110011001110 (22 bits)
Octal 0o17346316
Hexadecimal 0x3DCCCE

Divisor Catalog (24)

1 2 3 6 9 18 223 446 669 1,009 1,338 2,007 2,018 3,027 4,014 6,054 9,081 18,162 225,007 450,014 675,021 1,350,042 2,025,063 4,050,126

Collatz Trajectory (185 steps to reach 1)

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

4,050,126 2,025,063 6,075,190 3,037,595 9,112,786 4,556,393 13,669,180 6,834,590 3,417,295 10,251,886 5,125,943 15,377,830 7,688,915 23,066,746 11,533,373 34,600,120 17,300,060 8,650,030 4,325,015 12,975,046 6,487,523 19,462,570 9,731,285 29,193,856 14,596,928 7,298,464 3,649,232 1,824,616 912,308 456,154 228,077 684,232 342,116 171,058 85,529 256,588 128,294 64,147 192,442 96,221 288,664 144,332 72,166 36,083 108,250 54,125 162,376 81,188 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690

More profiles

← Previous Integer #4,050,125 Browse Full Index Next Integer #4,050,127 →