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Atlas › Integer Profiles › Node 2,995,996

2,995,996

22 × 19 × 79 × 499
Deficient Even Composite

2,995,996 factors as 2^2 × 19 × 79 × 499. Its 24 positive divisors give a proper-divisor sum of 2,604,004, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 79 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,600,000
Proper Divisor Sum 2,604,004
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #2995981 ← → #2995997

Radix Representation

Decimal 2995996
Binary 1011011011011100011100 (22 bits)
Octal 0o13333434
Hexadecimal 0x2DB71C

Divisor Catalog (24)

1 2 4 19 38 76 79 158 316 499 998 1,501 1,996 3,002 6,004 9,481 18,962 37,924 39,421 78,842 157,684 748,999 1,497,998 2,995,996

Collatz Trajectory (182 steps to reach 1)

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

2,995,996 1,497,998 748,999 2,246,998 1,123,499 3,370,498 1,685,249 5,055,748 2,527,874 1,263,937 3,791,812 1,895,906 947,953 2,843,860 1,421,930 710,965 2,132,896 1,066,448 533,224 266,612 133,306 66,653 199,960 99,980 49,990 24,995 74,986 37,493 112,480 56,240 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530

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