7,142,005

5 × 13 × 19 × 5783

7,142,005 factors as 5 × 13 × 19 × 5783. Its 16 positive divisors give a proper-divisor sum of 2,575,115, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 5 × 13 × 19 × 5783

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,717,120

Proper Divisor Sum 2,575,115

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7141991 ← → #7142011

Radix Representation

Decimal	7142005
Binary	11011001111101001110101 (23 bits)
Octal	0o33175165
Hexadecimal	0x6CFA75

Divisor Catalog (16)

1 5 13 19 65 95 247 1,235 5,783 28,915 75,179 109,877 375,895 549,385 1,428,401 7,142,005

Collatz Trajectory (142 steps to reach 1)

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

7,142,005 21,426,016 10,713,008 5,356,504 2,678,252 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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