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Atlas › Integer Profiles › Node 42,154,658

42,154,658

2 × 7 × 13 × 67 × 3457
Deficient Even Composite

42,154,658 factors as 2 × 7 × 13 × 67 × 3457. Its 32 positive divisors give a proper-divisor sum of 36,853,726, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 67 × 3457
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 79,008,384
Proper Divisor Sum 36,853,726
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #42154649 ← → #42154667

Radix Representation

Decimal 42154658
Binary 10100000110011101010100010 (26 bits)
Octal 0o240635242
Hexadecimal 0x2833AA2

Divisor Catalog (32)

1 2 7 13 14 26 67 91 134 182 469 871 938 1,742 3,457 6,097 6,914 12,194 24,199 44,941 48,398 89,882 231,619 314,587 463,238 629,174 1,621,333 3,011,047 3,242,666 6,022,094 21,077,329 42,154,658

Collatz Trajectory (191 steps to reach 1)

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

42,154,658 21,077,329 63,231,988 31,615,994 15,807,997 47,423,992 23,711,996 11,855,998 5,927,999 17,783,998 8,891,999 26,675,998 13,337,999 40,013,998 20,006,999 60,020,998 30,010,499 90,031,498 45,015,749 135,047,248 67,523,624 33,761,812 16,880,906 8,440,453 25,321,360 12,660,680 6,330,340 3,165,170 1,582,585 4,747,756 2,373,878 1,186,939 3,560,818 1,780,409 5,341,228 2,670,614 1,335,307 4,005,922 2,002,961 6,008,884 3,004,442 1,502,221 4,506,664 2,253,332 1,126,666 563,333 1,690,000 845,000 422,500 211,250 105,625 316,876 158,438 79,219 237,658 118,829 356,488 178,244 89,122 44,561

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