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Atlas › Integer Profiles › Node 2,148,352

2,148,352

211 × 1049
Abundant Even Composite

2,148,352 factors as 2^11 × 1049. Its 24 positive divisors give a proper-divisor sum of 2,151,398, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^11 × 1049
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,299,750
Proper Divisor Sum 2,151,398
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2148347 ← → #2148353

Radix Representation

Decimal 2148352
Binary 1000001100100000000000 (22 bits)
Octal 0o10144000
Hexadecimal 0x20C800

Divisor Catalog (24)

1 2 4 8 16 32 64 128 256 512 1,024 1,049 2,048 2,098 4,196 8,392 16,784 33,568 67,136 134,272 268,544 537,088 1,074,176 2,148,352

Collatz Trajectory (73 steps to reach 1)

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

2,148,352 1,074,176 537,088 268,544 134,272 67,136 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11

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