λ
Harmonic Matrix

4,572,222

2 × 3 × 762037
Abundant Even Composite

4,572,222 has digital root 6. The neighboring primes are 4572199 and 4572229; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 762037
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,144,456
Proper Divisor Sum 4,572,234
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4572199 ← → #4572229

Radix Representation

Decimal 4572222
Binary 10001011100010000111110 (23 bits)
Octal 0o21342076
Hexadecimal 0x45C43E

Divisor Catalog (8)

1 2 3 6 762,037 1,524,074 2,286,111 4,572,222

Collatz Trajectory (224 steps to reach 1)

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

4,572,222 2,286,111 6,858,334 3,429,167 10,287,502 5,143,751 15,431,254 7,715,627 23,146,882 11,573,441 34,720,324 17,360,162 8,680,081 26,040,244 13,020,122 6,510,061 19,530,184 9,765,092 4,882,546 2,441,273 7,323,820 3,661,910 1,830,955 5,492,866 2,746,433 8,239,300 4,119,650 2,059,825 6,179,476 3,089,738 1,544,869 4,634,608 2,317,304 1,158,652 579,326 289,663 868,990 434,495 1,303,486 651,743 1,955,230 977,615 2,932,846 1,466,423 4,399,270 2,199,635 6,598,906 3,299,453 9,898,360 4,949,180 2,474,590 1,237,295 3,711,886 1,855,943 5,567,830 2,783,915 8,351,746 4,175,873 12,527,620 6,263,810

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