λ
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2,047,400

23 × 52 × 29 × 353
Abundant Even Composite

2,047,400 factors as 2^3 × 5^2 × 29 × 353. Its 48 positive divisors give a proper-divisor sum of 2,890,900, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 29 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,938,300
Proper Divisor Sum 2,890,900
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2047393 ← → #2047403

Radix Representation

Decimal 2047400
Binary 111110011110110101000 (21 bits)
Octal 0o7636650
Hexadecimal 0x1F3DA8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 353 580 706 725 1,160 1,412 1,450 1,765 2,824 2,900 3,530 5,800 7,060 8,825 10,237 14,120 17,650 20,474 35,300 40,948 51,185 70,600 81,896 102,370 204,740 255,925 409,480 511,850 1,023,700 2,047,400

Collatz Trajectory (60 steps to reach 1)

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

2,047,400 1,023,700 511,850 255,925 767,776 383,888 191,944 95,972 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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