λ
Harmonic Matrix

4,737,654

2 × 32 × 43 × 6121
Abundant Even Composite

4,737,654 has digital root 9. The neighboring primes are 4737619 and 4737661; its proper-divisor sum differs from the starting integer by 1,030,044.

Prime Factor Structure

Factorization String 2 × 3^2 × 43 × 6121
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,505,352
Proper Divisor Sum 5,767,698
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4737619 ← → #4737661

Radix Representation

Decimal 4737654
Binary 10010000100101001110110 (23 bits)
Octal 0o22045166
Hexadecimal 0x484A76

Divisor Catalog (24)

1 2 3 6 9 18 43 86 129 258 387 774 6,121 12,242 18,363 36,726 55,089 110,178 263,203 526,406 789,609 1,579,218 2,368,827 4,737,654

Collatz Trajectory (193 steps to reach 1)

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

4,737,654 2,368,827 7,106,482 3,553,241 10,659,724 5,329,862 2,664,931 7,994,794 3,997,397 11,992,192 5,996,096 2,998,048 1,499,024 749,512 374,756 187,378 93,689 281,068 140,534 70,267 210,802 105,401 316,204 158,102 79,051 237,154 118,577 355,732 177,866 88,933 266,800 133,400 66,700 33,350 16,675 50,026 25,013 75,040 37,520 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012

More profiles

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