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Atlas › Integer Profiles › Node 15,933,752

15,933,752

23 × 31 × 47 × 1367
Deficient Even Composite

15,933,752 factors as 2^3 × 31 × 47 × 1367. Its 32 positive divisors give a proper-divisor sum of 15,584,968, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 47 × 1367
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,518,720
Proper Divisor Sum 15,584,968
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #15933751 ← → #15933763

Radix Representation

Decimal 15933752
Binary 111100110010000100111000 (24 bits)
Octal 0o74620470
Hexadecimal 0xF32138

Divisor Catalog (32)

1 2 4 8 31 47 62 94 124 188 248 376 1,367 1,457 2,734 2,914 5,468 5,828 10,936 11,656 42,377 64,249 84,754 128,498 169,508 256,996 339,016 513,992 1,991,719 3,983,438 7,966,876 15,933,752

Collatz Trajectory (156 steps to reach 1)

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

15,933,752 7,966,876 3,983,438 1,991,719 5,975,158 2,987,579 8,962,738 4,481,369 13,444,108 6,722,054 3,361,027 10,083,082 5,041,541 15,124,624 7,562,312 3,781,156 1,890,578 945,289 2,835,868 1,417,934 708,967 2,126,902 1,063,451 3,190,354 1,595,177 4,785,532 2,392,766 1,196,383 3,589,150 1,794,575 5,383,726 2,691,863 8,075,590 4,037,795 12,113,386 6,056,693 18,170,080 9,085,040 4,542,520 2,271,260 1,135,630 567,815 1,703,446 851,723 2,555,170 1,277,585 3,832,756 1,916,378 958,189 2,874,568 1,437,284 718,642 359,321 1,077,964 538,982 269,491 808,474 404,237 1,212,712 606,356

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