λ
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Atlas › Integer Profiles › Node 5,702,000

5,702,000

24 × 53 × 2851
Abundant Even Composite

5,702,000 factors as 2^4 × 5^3 × 2851. Its 40 positive divisors give a proper-divisor sum of 8,090,272, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 2851
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,792,272
Proper Divisor Sum 8,090,272
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #5701991 ← → #5702003

Radix Representation

Decimal 5702000
Binary 10101110000000101110000 (23 bits)
Octal 0o25600560
Hexadecimal 0x570170

Divisor Catalog (40)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1,000 2,000 2,851 5,702 11,404 14,255 22,808 28,510 45,616 57,020 71,275 114,040 142,550 228,080 285,100 356,375 570,200 712,750 1,140,400 1,425,500 2,851,000 5,702,000

Collatz Trajectory (126 steps to reach 1)

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

5,702,000 2,851,000 1,425,500 712,750 356,375 1,069,126 534,563 1,603,690 801,845 2,405,536 1,202,768 601,384 300,692 150,346 75,173 225,520 112,760 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038

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