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Atlas › Integer Profiles › Node 24,255,764

24,255,764

22 × 13 × 31 × 41 × 367
Deficient Even Composite

24,255,764 factors as 2^2 × 13 × 31 × 41 × 367. Its 48 positive divisors give a proper-divisor sum of 24,214,252, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 41 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,470,016
Proper Divisor Sum 24,214,252
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #24255743 ← → #24255769

Radix Representation

Decimal 24255764
Binary 1011100100001110100010100 (25 bits)
Octal 0o134416424
Hexadecimal 0x1721D14

Divisor Catalog (48)

1 2 4 13 26 31 41 52 62 82 124 164 367 403 533 734 806 1,066 1,271 1,468 1,612 2,132 2,542 4,771 5,084 9,542 11,377 15,047 16,523 19,084 22,754 30,094 33,046 45,508 60,188 66,092 147,901 195,611 295,802 391,222 466,457 591,604 782,444 932,914 1,865,828 6,063,941 12,127,882 24,255,764

Collatz Trajectory (229 steps to reach 1)

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

24,255,764 12,127,882 6,063,941 18,191,824 9,095,912 4,547,956 2,273,978 1,136,989 3,410,968 1,705,484 852,742 426,371 1,279,114 639,557 1,918,672 959,336 479,668 239,834 119,917 359,752 179,876 89,938 44,969 134,908 67,454 33,727 101,182 50,591 151,774 75,887 227,662 113,831 341,494 170,747 512,242 256,121 768,364 384,182 192,091 576,274 288,137 864,412 432,206 216,103 648,310 324,155 972,466 486,233 1,458,700 729,350 364,675 1,094,026 547,013 1,641,040 820,520 410,260 205,130 102,565 307,696 153,848

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