λ
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Atlas › Integer Profiles › Node 5,731,990

5,731,990

2 × 5 × 11 × 107 × 487
Deficient Even Composite

5,731,990 factors as 2 × 5 × 11 × 107 × 487. Its 32 positive divisors give a proper-divisor sum of 5,652,074, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 107 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,384,064
Proper Divisor Sum 5,652,074
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5731981 ← → #5732011

Radix Representation

Decimal 5731990
Binary 10101110111011010010110 (23 bits)
Octal 0o25673226
Hexadecimal 0x577696

Divisor Catalog (32)

1 2 5 10 11 22 55 107 110 214 487 535 974 1,070 1,177 2,354 2,435 4,870 5,357 5,885 10,714 11,770 26,785 52,109 53,570 104,218 260,545 521,090 573,199 1,146,398 2,865,995 5,731,990

Collatz Trajectory (77 steps to reach 1)

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

5,731,990 2,865,995 8,597,986 4,298,993 12,896,980 6,448,490 3,224,245 9,672,736 4,836,368 2,418,184 1,209,092 604,546 302,273 906,820 453,410 226,705 680,116 340,058 170,029 510,088 255,044 127,522 63,761 191,284 95,642 47,821 143,464 71,732 35,866 17,933 53,800 26,900 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

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