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Atlas › Integer Profiles › Node 2,011,040

2,011,040

25 × 5 × 12569
Abundant Even Composite

2,011,040 factors as 2^5 × 5 × 12569. Its 24 positive divisors give a proper-divisor sum of 2,740,420, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 12569
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,751,460
Proper Divisor Sum 2,740,420
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #2011033 ← → #2011057

Radix Representation

Decimal 2011040
Binary 111101010111110100000 (21 bits)
Octal 0o7527640
Hexadecimal 0x1EAFA0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 12,569 25,138 50,276 62,845 100,552 125,690 201,104 251,380 402,208 502,760 1,005,520 2,011,040

Collatz Trajectory (91 steps to reach 1)

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

2,011,040 1,005,520 502,760 251,380 125,690 62,845 188,536 94,268 47,134 23,567 70,702 35,351 106,054 53,027 159,082 79,541 238,624 119,312 59,656 29,828 14,914 7,457 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 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

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