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Atlas › Integer Profiles › Node 5,923,944

5,923,944

23 × 32 × 13 × 6329
Abundant Even Composite

5,923,944 factors as 2^3 × 3^2 × 13 × 6329. Its 48 positive divisors give a proper-divisor sum of 11,356,956, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 6329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,280,900
Proper Divisor Sum 11,356,956
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5923937 ← → #5923961

Radix Representation

Decimal 5923944
Binary 10110100110010001101000 (23 bits)
Octal 0o26462150
Hexadecimal 0x5A6468

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 6,329 12,658 18,987 25,316 37,974 50,632 56,961 75,948 82,277 113,922 151,896 164,554 227,844 246,831 329,108 455,688 493,662 658,216 740,493 987,324 1,480,986 1,974,648 2,961,972 5,923,944

Collatz Trajectory (152 steps to reach 1)

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

5,923,944 2,961,972 1,480,986 740,493 2,221,480 1,110,740 555,370 277,685 833,056 416,528 208,264 104,132 52,066 26,033 78,100 39,050 19,525 58,576 29,288 14,644 7,322 3,661 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

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