λ
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Atlas › Integer Profiles › Node 20,007,765

20,007,765

32 × 5 × 53 × 8389
Deficient Odd Composite

20,007,765 factors as 3^2 × 5 × 53 × 8389. Its 24 positive divisors give a proper-divisor sum of 15,330,915, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 53 × 8389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,338,680
Proper Divisor Sum 15,330,915
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20007749 ← → #20007773

Radix Representation

Decimal 20007765
Binary 1001100010100101101010101 (25 bits)
Octal 0o114245525
Hexadecimal 0x1314B55

Divisor Catalog (24)

1 3 5 9 15 45 53 159 265 477 795 2,385 8,389 25,167 41,945 75,501 125,835 377,505 444,617 1,333,851 2,223,085 4,001,553 6,669,255 20,007,765

Collatz Trajectory (84 steps to reach 1)

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

20,007,765 60,023,296 30,011,648 15,005,824 7,502,912 3,751,456 1,875,728 937,864 468,932 234,466 117,233 351,700 175,850 87,925 263,776 131,888 65,944 32,972 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592

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