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Atlas › Integer Profiles › Node 2,193,142

2,193,142

2 × 73 × 23 × 139
Deficient Even Composite

2,193,142 factors as 2 × 7^3 × 23 × 139. Its 32 positive divisors give a proper-divisor sum of 1,838,858, so this integer is deficient. The Collatz stopping time is 316 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 23 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,032,000
Proper Divisor Sum 1,838,858
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2193137 ← → #2193167

Radix Representation

Decimal 2193142
Binary 1000010111011011110110 (22 bits)
Octal 0o10273366
Hexadecimal 0x2176F6

Divisor Catalog (32)

1 2 7 14 23 46 49 98 139 161 278 322 343 686 973 1,127 1,946 2,254 3,197 6,394 6,811 7,889 13,622 15,778 22,379 44,758 47,677 95,354 156,653 313,306 1,096,571 2,193,142

Collatz Trajectory (316 steps to reach 1)

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

2,193,142 1,096,571 3,289,714 1,644,857 4,934,572 2,467,286 1,233,643 3,700,930 1,850,465 5,551,396 2,775,698 1,387,849 4,163,548 2,081,774 1,040,887 3,122,662 1,561,331 4,683,994 2,341,997 7,025,992 3,512,996 1,756,498 878,249 2,634,748 1,317,374 658,687 1,976,062 988,031 2,964,094 1,482,047 4,446,142 2,223,071 6,669,214 3,334,607 10,003,822 5,001,911 15,005,734 7,502,867 22,508,602 11,254,301 33,762,904 16,881,452 8,440,726 4,220,363 12,661,090 6,330,545 18,991,636 9,495,818 4,747,909 14,243,728 7,121,864 3,560,932 1,780,466 890,233 2,670,700 1,335,350 667,675 2,003,026 1,001,513 3,004,540

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