λ
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Atlas › Integer Profiles › Node 2,252,032

2,252,032

28 × 19 × 463
Abundant Even Composite

2,252,032 factors as 2^8 × 19 × 463. Its 36 positive divisors give a proper-divisor sum of 2,490,048, so this integer is abundant. The Collatz stopping time is 42 steps.

Prime Factor Structure

Factorization String 2^8 × 19 × 463
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,742,080
Proper Divisor Sum 2,490,048
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2252017 ← → #2252087

Radix Representation

Decimal 2252032
Binary 1000100101110100000000 (22 bits)
Octal 0o10456400
Hexadecimal 0x225D00

Divisor Catalog (36)

1 2 4 8 16 19 32 38 64 76 128 152 256 304 463 608 926 1,216 1,852 2,432 3,704 4,864 7,408 8,797 14,816 17,594 29,632 35,188 59,264 70,376 118,528 140,752 281,504 563,008 1,126,016 2,252,032

Collatz Trajectory (42 steps to reach 1)

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

2,252,032 1,126,016 563,008 281,504 140,752 70,376 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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