λ
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Atlas › Integer Profiles › Node 21,388,912

21,388,912

24 × 701 × 1907
Deficient Even Composite

21,388,912 factors as 2^4 × 701 × 1907. Its 20 positive divisors give a proper-divisor sum of 20,132,984, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^4 × 701 × 1907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 41,521,896
Proper Divisor Sum 20,132,984
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #21388897 ← → #21388943

Radix Representation

Decimal 21388912
Binary 1010001100101111001110000 (25 bits)
Octal 0o121457160
Hexadecimal 0x1465E70

Divisor Catalog (20)

1 2 4 8 16 701 1,402 1,907 2,804 3,814 5,608 7,628 11,216 15,256 30,512 1,336,807 2,673,614 5,347,228 10,694,456 21,388,912

Collatz Trajectory (120 steps to reach 1)

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

21,388,912 10,694,456 5,347,228 2,673,614 1,336,807 4,010,422 2,005,211 6,015,634 3,007,817 9,023,452 4,511,726 2,255,863 6,767,590 3,383,795 10,151,386 5,075,693 15,227,080 7,613,540 3,806,770 1,903,385 5,710,156 2,855,078 1,427,539 4,282,618 2,141,309 6,423,928 3,211,964 1,605,982 802,991 2,408,974 1,204,487 3,613,462 1,806,731 5,420,194 2,710,097 8,130,292 4,065,146 2,032,573 6,097,720 3,048,860 1,524,430 762,215 2,286,646 1,143,323 3,429,970 1,714,985 5,144,956 2,572,478 1,286,239 3,858,718 1,929,359 5,788,078 2,894,039 8,682,118 4,341,059 13,023,178 6,511,589 19,534,768 9,767,384 4,883,692

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