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Atlas › Integer Profiles › Node 10,021,536

10,021,536

25 × 33 × 7 × 1657
Abundant Even Composite

10,021,536 factors as 2^5 × 3^3 × 7 × 1657. Its 96 positive divisors give a proper-divisor sum of 23,403,744, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 7 × 1657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 33,425,280
Proper Divisor Sum 23,403,744
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10021519 ← → #10021541

Radix Representation

Decimal 10021536
Binary 100110001110101010100000 (24 bits)
Octal 0o46165240
Hexadecimal 0x98EAA0

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1,008 1,512 1,657 2,016 3,024 3,314 4,971 6,048 6,628 9,942 11,599 13,256 14,913 19,884 23,198 26,512 29,826

Collatz Trajectory (145 steps to reach 1)

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

10,021,536 5,010,768 2,505,384 1,252,692 626,346 313,173 939,520 469,760 234,880 117,440 58,720 29,360 14,680 7,340 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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