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Atlas › Integer Profiles › Node 21,865,571

21,865,571

7 × 13 × 23 × 31 × 337
Deficient Odd Composite

21,865,571 factors as 7 × 13 × 23 × 31 × 337. Its 32 positive divisors give a proper-divisor sum of 7,207,837, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 7 × 13 × 23 × 31 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,073,408
Proper Divisor Sum 7,207,837
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #21865567 ← → #21865573

Radix Representation

Decimal 21865571
Binary 1010011011010010001100011 (25 bits)
Octal 0o123322143
Hexadecimal 0x14DA463

Divisor Catalog (32)

1 7 13 23 31 91 161 217 299 337 403 713 2,093 2,359 2,821 4,381 4,991 7,751 9,269 10,447 30,667 54,257 64,883 73,129 100,763 135,811 240,281 705,341 950,677 1,681,967 3,123,653 21,865,571

Collatz Trajectory (203 steps to reach 1)

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

21,865,571 65,596,714 32,798,357 98,395,072 49,197,536 24,598,768 12,299,384 6,149,692 3,074,846 1,537,423 4,612,270 2,306,135 6,918,406 3,459,203 10,377,610 5,188,805 15,566,416 7,783,208 3,891,604 1,945,802 972,901 2,918,704 1,459,352 729,676 364,838 182,419 547,258 273,629 820,888 410,444 205,222 102,611 307,834 153,917 461,752 230,876 115,438 57,719 173,158 86,579 259,738 129,869 389,608 194,804 97,402 48,701 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116

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