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Atlas › Integer Profiles › Node 7,142,000

7,142,000

24 × 53 × 3571
Abundant Even Composite

7,142,000 factors as 2^4 × 5^3 × 3571. Its 40 positive divisors give a proper-divisor sum of 10,132,192, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 3571
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,274,192
Proper Divisor Sum 10,132,192
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #7141991 ← → #7142011

Radix Representation

Decimal 7142000
Binary 11011001111101001110000 (23 bits)
Octal 0o33175160
Hexadecimal 0x6CFA70

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 3,571 7,142 14,284 17,855 28,568 35,710 57,136 71,420 89,275 142,840 178,550 285,680 357,100 446,375 714,200 892,750 1,428,400 1,785,500 3,571,000 7,142,000

Collatz Trajectory (142 steps to reach 1)

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

7,142,000 3,571,000 1,785,500 892,750 446,375 1,339,126 669,563 2,008,690 1,004,345 3,013,036 1,506,518 753,259 2,259,778 1,129,889 3,389,668 1,694,834 847,417 2,542,252 1,271,126 635,563 1,906,690 953,345 2,860,036 1,430,018 715,009 2,145,028 1,072,514 536,257 1,608,772 804,386 402,193 1,206,580 603,290 301,645 904,936 452,468 226,234 113,117 339,352 169,676 84,838 42,419 127,258 63,629 190,888 95,444 47,722 23,861 71,584 35,792 17,896 8,948 4,474 2,237 6,712 3,356 1,678 839 2,518 1,259

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