21,718,144

2⁷ × 7 × 24239

21,718,144 factors as 2^7 × 7 × 24239. Its 32 positive divisors give a proper-divisor sum of 27,731,456, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^7 × 7 × 24239

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 49,449,600

Proper Divisor Sum 27,731,456

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #21718133 ← → #21718189

Radix Representation

Decimal	21718144
Binary	1010010110110010010000000 (25 bits)
Octal	0o122662200
Hexadecimal	0x14B6480

Divisor Catalog (32)

Collatz Trajectory (141 steps to reach 1)

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

21,718,144 10,859,072 5,429,536 2,714,768 1,357,384 678,692 339,346 169,673 509,020 254,510 127,255 381,766 190,883 572,650 286,325 858,976 429,488 214,744 107,372 53,686 26,843 80,530 40,265 120,796 60,398 30,199 90,598 45,299 135,898 67,949 203,848 101,924 50,962 25,481 76,444 38,222 19,111 57,334 28,667 86,002 43,001 129,004 64,502 32,251 96,754 48,377 145,132 72,566 36,283 108,850 54,425 163,276 81,638 40,819 122,458 61,229 183,688 91,844 45,922 22,961

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