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Atlas › Integer Profiles › Node 4,589,013

4,589,013

3 × 11 × 13 × 19 × 563
Deficient Odd Composite

4,589,013 factors as 3 × 11 × 13 × 19 × 563. Its 32 positive divisors give a proper-divisor sum of 2,991,147, so this integer is deficient. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 19 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,580,160
Proper Divisor Sum 2,991,147
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4588979 ← → #4589017

Radix Representation

Decimal 4589013
Binary 10001100000010111010101 (23 bits)
Octal 0o21402725
Hexadecimal 0x4605D5

Divisor Catalog (32)

1 3 11 13 19 33 39 57 143 209 247 429 563 627 741 1,689 2,717 6,193 7,319 8,151 10,697 18,579 21,957 32,091 80,509 117,667 139,061 241,527 353,001 417,183 1,529,671 4,589,013

Collatz Trajectory (56 steps to reach 1)

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

4,589,013 13,767,040 6,883,520 3,441,760 1,720,880 860,440 430,220 215,110 107,555 322,666 161,333 484,000 242,000 121,000 60,500 30,250 15,125 45,376 22,688 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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