λ
Harmonic Matrix

1,500,243

3 × 227 × 2203
Deficient Odd Composite

1,500,243 has digital root 6. The neighboring primes are 1500241 and 1500269; its proper-divisor sum differs from the starting integer by -990,438.

Prime Factor Structure

Factorization String 3 × 227 × 2203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,010,048
Proper Divisor Sum 509,805
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1500241 ← → #1500269

Radix Representation

Decimal 1500243
Binary 101101110010001010011 (21 bits)
Octal 0o5562123
Hexadecimal 0x16E453

Divisor Catalog (8)

1 3 227 681 2,203 6,609 500,081 1,500,243

Collatz Trajectory (256 steps to reach 1)

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

1,500,243 4,500,730 2,250,365 6,751,096 3,375,548 1,687,774 843,887 2,531,662 1,265,831 3,797,494 1,898,747 5,696,242 2,848,121 8,544,364 4,272,182 2,136,091 6,408,274 3,204,137 9,612,412 4,806,206 2,403,103 7,209,310 3,604,655 10,813,966 5,406,983 16,220,950 8,110,475 24,331,426 12,165,713 36,497,140 18,248,570 9,124,285 27,372,856 13,686,428 6,843,214 3,421,607 10,264,822 5,132,411 15,397,234 7,698,617 23,095,852 11,547,926 5,773,963 17,321,890 8,660,945 25,982,836 12,991,418 6,495,709 19,487,128 9,743,564 4,871,782 2,435,891 7,307,674 3,653,837 10,961,512 5,480,756 2,740,378 1,370,189 4,110,568 2,055,284

More profiles

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