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2,140,672

29 × 37 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 37 × 113
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,431,636
Proper Divisor Sum 2,290,964
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2140637 ← → #2140681

Radix Representation

Decimal 2140672
Binary 1000001010101000000000 (22 bits)
Octal 0o10125000
Hexadecimal 0x20AA00

Divisor Catalog (40)

1 2 4 8 16 32 37 64 74 113 128 148 226 256 296 452 512 592 904 1,184 1,808 2,368 3,616 4,181 4,736 7,232 8,362 9,472 14,464 16,724 18,944 28,928 33,448 57,856 66,896 133,792 267,584 535,168 1,070,336 2,140,672

Collatz Trajectory (42 steps to reach 1)

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

2,140,672 1,070,336 535,168 267,584 133,792 66,896 33,448 16,724 8,362 4,181 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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