λ
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Atlas › Integer Profiles › Node 2,034,440

2,034,440

23 × 5 × 181 × 281
Abundant Even Composite

2,034,440 factors as 2^3 × 5 × 181 × 281. Its 32 positive divisors give a proper-divisor sum of 2,584,720, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 181 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,619,160
Proper Divisor Sum 2,584,720
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2034433 ← → #2034449

Radix Representation

Decimal 2034440
Binary 111110000101100001000 (21 bits)
Octal 0o7605410
Hexadecimal 0x1F0B08

Divisor Catalog (32)

1 2 4 5 8 10 20 40 181 281 362 562 724 905 1,124 1,405 1,448 1,810 2,248 2,810 3,620 5,620 7,240 11,240 50,861 101,722 203,444 254,305 406,888 508,610 1,017,220 2,034,440

Collatz Trajectory (135 steps to reach 1)

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

2,034,440 1,017,220 508,610 254,305 762,916 381,458 190,729 572,188 286,094 143,047 429,142 214,571 643,714 321,857 965,572 482,786 241,393 724,180 362,090 181,045 543,136 271,568 135,784 67,892 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153

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