λ
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Atlas › Integer Profiles › Node 5,643,274

5,643,274

2 × 7 × 13 × 101 × 307
Deficient Even Composite

5,643,274 factors as 2 × 7 × 13 × 101 × 307. Its 32 positive divisors give a proper-divisor sum of 4,912,502, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 101 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,555,776
Proper Divisor Sum 4,912,502
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5643263 ← → #5643301

Radix Representation

Decimal 5643274
Binary 10101100001110000001010 (23 bits)
Octal 0o25416012
Hexadecimal 0x561C0A

Divisor Catalog (32)

1 2 7 13 14 26 91 101 182 202 307 614 707 1,313 1,414 2,149 2,626 3,991 4,298 7,982 9,191 18,382 27,937 31,007 55,874 62,014 217,049 403,091 434,098 806,182 2,821,637 5,643,274

Collatz Trajectory (152 steps to reach 1)

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

5,643,274 2,821,637 8,464,912 4,232,456 2,116,228 1,058,114 529,057 1,587,172 793,586 396,793 1,190,380 595,190 297,595 892,786 446,393 1,339,180 669,590 334,795 1,004,386 502,193 1,506,580 753,290 376,645 1,129,936 564,968 282,484 141,242 70,621 211,864 105,932 52,966 26,483 79,450 39,725 119,176 59,588 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969

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