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Atlas › Integer Profiles › Node 21,390,726

21,390,726

2 × 3 × 7 × 17 × 29959
Abundant Even Composite

21,390,726 factors as 2 × 3 × 7 × 17 × 29959. Its 32 positive divisors give a proper-divisor sum of 30,380,154, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 29959
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,770,880
Proper Divisor Sum 30,380,154
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #21390673 ← → #21390727

Radix Representation

Decimal 21390726
Binary 1010001100110010110000110 (25 bits)
Octal 0o121462606
Hexadecimal 0x1466586

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 29,959 59,918 89,877 179,754 209,713 419,426 509,303 629,139 1,018,606 1,258,278 1,527,909 3,055,818 3,565,121 7,130,242 10,695,363 21,390,726

Collatz Trajectory (120 steps to reach 1)

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

21,390,726 10,695,363 32,086,090 16,043,045 48,129,136 24,064,568 12,032,284 6,016,142 3,008,071 9,024,214 4,512,107 13,536,322 6,768,161 20,304,484 10,152,242 5,076,121 15,228,364 7,614,182 3,807,091 11,421,274 5,710,637 17,131,912 8,565,956 4,282,978 2,141,489 6,424,468 3,212,234 1,606,117 4,818,352 2,409,176 1,204,588 602,294 301,147 903,442 451,721 1,355,164 677,582 338,791 1,016,374 508,187 1,524,562 762,281 2,286,844 1,143,422 571,711 1,715,134 857,567 2,572,702 1,286,351 3,859,054 1,929,527 5,788,582 2,894,291 8,682,874 4,341,437 13,024,312 6,512,156 3,256,078 1,628,039 4,884,118

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