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Atlas › Integer Profiles › Node 31,822,288

31,822,288

24 × 1091 × 1823
Deficient Even Composite

31,822,288 factors as 2^4 × 1091 × 1823. Its 20 positive divisors give a proper-divisor sum of 29,923,760, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^4 × 1091 × 1823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 61,746,048
Proper Divisor Sum 29,923,760
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #31822277 ← → #31822291

Radix Representation

Decimal 31822288
Binary 1111001011001000111010000 (25 bits)
Octal 0o171310720
Hexadecimal 0x1E591D0

Divisor Catalog (20)

1 2 4 8 16 1,091 1,823 2,182 3,646 4,364 7,292 8,728 14,584 17,456 29,168 1,988,893 3,977,786 7,955,572 15,911,144 31,822,288

Collatz Trajectory (170 steps to reach 1)

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

31,822,288 15,911,144 7,955,572 3,977,786 1,988,893 5,966,680 2,983,340 1,491,670 745,835 2,237,506 1,118,753 3,356,260 1,678,130 839,065 2,517,196 1,258,598 629,299 1,887,898 943,949 2,831,848 1,415,924 707,962 353,981 1,061,944 530,972 265,486 132,743 398,230 199,115 597,346 298,673 896,020 448,010 224,005 672,016 336,008 168,004 84,002 42,001 126,004 63,002 31,501 94,504 47,252 23,626 11,813 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609

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