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Atlas › Integer Profiles › Node 4,420,143

4,420,143

33 × 72 × 13 × 257
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7^2 × 13 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,235,360
Proper Divisor Sum 3,815,217
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4420139 ← → #4420159

Radix Representation

Decimal 4420143
Binary 10000110111001000101111 (23 bits)
Octal 0o20671057
Hexadecimal 0x43722F

Divisor Catalog (48)

1 3 7 9 13 21 27 39 49 63 91 117 147 189 257 273 351 441 637 771 819 1,323 1,799 1,911 2,313 2,457 3,341 5,397 5,733 6,939 10,023 12,593 16,191 17,199 23,387 30,069 37,779 48,573 70,161 90,207 113,337 163,709 210,483 340,011 491,127 631,449 1,473,381 4,420,143

Collatz Trajectory (211 steps to reach 1)

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

4,420,143 13,260,430 6,630,215 19,890,646 9,945,323 29,835,970 14,917,985 44,753,956 22,376,978 11,188,489 33,565,468 16,782,734 8,391,367 25,174,102 12,587,051 37,761,154 18,880,577 56,641,732 28,320,866 14,160,433 42,481,300 21,240,650 10,620,325 31,860,976 15,930,488 7,965,244 3,982,622 1,991,311 5,973,934 2,986,967 8,960,902 4,480,451 13,441,354 6,720,677 20,162,032 10,081,016 5,040,508 2,520,254 1,260,127 3,780,382 1,890,191 5,670,574 2,835,287 8,505,862 4,252,931 12,758,794 6,379,397 19,138,192 9,569,096 4,784,548 2,392,274 1,196,137 3,588,412 1,794,206 897,103 2,691,310 1,345,655 4,036,966 2,018,483 6,055,450

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