λ
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Atlas › Integer Profiles › Node 20,002,190

20,002,190

2 × 5 × 13 × 251 × 613
Deficient Even Composite

20,002,190 factors as 2 × 5 × 13 × 251 × 613. Its 32 positive divisors give a proper-divisor sum of 18,989,266, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 251 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 38,991,456
Proper Divisor Sum 18,989,266
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #20002189 ← → #20002201

Radix Representation

Decimal 20002190
Binary 1001100010011010110001110 (25 bits)
Octal 0o114232616
Hexadecimal 0x131358E

Divisor Catalog (32)

1 2 5 10 13 26 65 130 251 502 613 1,226 1,255 2,510 3,065 3,263 6,130 6,526 7,969 15,938 16,315 32,630 39,845 79,690 153,863 307,726 769,315 1,538,630 2,000,219 4,000,438 10,001,095 20,002,190

Collatz Trajectory (221 steps to reach 1)

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

20,002,190 10,001,095 30,003,286 15,001,643 45,004,930 22,502,465 67,507,396 33,753,698 16,876,849 50,630,548 25,315,274 12,657,637 37,972,912 18,986,456 9,493,228 4,746,614 2,373,307 7,119,922 3,559,961 10,679,884 5,339,942 2,669,971 8,009,914 4,004,957 12,014,872 6,007,436 3,003,718 1,501,859 4,505,578 2,252,789 6,758,368 3,379,184 1,689,592 844,796 422,398 211,199 633,598 316,799 950,398 475,199 1,425,598 712,799 2,138,398 1,069,199 3,207,598 1,603,799 4,811,398 2,405,699 7,217,098 3,608,549 10,825,648 5,412,824 2,706,412 1,353,206 676,603 2,029,810 1,014,905 3,044,716 1,522,358 761,179

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