21,242,788

2² × 7 × 758671

21,242,788 factors as 2^2 × 7 × 758671. Its 12 positive divisors give a proper-divisor sum of 21,242,844, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 758671

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 42,485,632

Proper Divisor Sum 21,242,844

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #21242783 ← → #21242789

Radix Representation

Decimal	21242788
Binary	1010001000010001110100100 (25 bits)
Octal	0o121021644
Hexadecimal	0x14423A4

Divisor Catalog (12)

1 2 4 7 14 28 758,671 1,517,342 3,034,684 5,310,697 10,621,394 21,242,788

Collatz Trajectory (234 steps to reach 1)

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

21,242,788 10,621,394 5,310,697 15,932,092 7,966,046 3,983,023 11,949,070 5,974,535 17,923,606 8,961,803 26,885,410 13,442,705 40,328,116 20,164,058 10,082,029 30,246,088 15,123,044 7,561,522 3,780,761 11,342,284 5,671,142 2,835,571 8,506,714 4,253,357 12,760,072 6,380,036 3,190,018 1,595,009 4,785,028 2,392,514 1,196,257 3,588,772 1,794,386 897,193 2,691,580 1,345,790 672,895 2,018,686 1,009,343 3,028,030 1,514,015 4,542,046 2,271,023 6,813,070 3,406,535 10,219,606 5,109,803 15,329,410 7,664,705 22,994,116 11,497,058 5,748,529 17,245,588 8,622,794 4,311,397 12,934,192 6,467,096 3,233,548 1,616,774 808,387

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