λ
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Atlas › Integer Profiles › Node 52,919,932

52,919,932

22 × 13 × 47 × 59 × 367
Deficient Even Composite

52,919,932 factors as 2^2 × 13 × 47 × 59 × 367. Its 48 positive divisors give a proper-divisor sum of 50,944,388, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 47 × 59 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 103,864,320
Proper Divisor Sum 50,944,388
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #52919927 ← → #52919957

Radix Representation

Decimal 52919932
Binary 11001001110111111001111100 (26 bits)
Octal 0o311677174
Hexadecimal 0x3277E7C

Divisor Catalog (48)

1 2 4 13 26 47 52 59 94 118 188 236 367 611 734 767 1,222 1,468 1,534 2,444 2,773 3,068 4,771 5,546 9,542 11,092 17,249 19,084 21,653 34,498 36,049 43,306 68,996 72,098 86,612 144,196 224,237 281,489 448,474 562,978 896,948 1,017,691 1,125,956 2,035,382 4,070,764 13,229,983 26,459,966 52,919,932

Collatz Trajectory (243 steps to reach 1)

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

52,919,932 26,459,966 13,229,983 39,689,950 19,844,975 59,534,926 29,767,463 89,302,390 44,651,195 133,953,586 66,976,793 200,930,380 100,465,190 50,232,595 150,697,786 75,348,893 226,046,680 113,023,340 56,511,670 28,255,835 84,767,506 42,383,753 127,151,260 63,575,630 31,787,815 95,363,446 47,681,723 143,045,170 71,522,585 214,567,756 107,283,878 53,641,939 160,925,818 80,462,909 241,388,728 120,694,364 60,347,182 30,173,591 90,520,774 45,260,387 135,781,162 67,890,581 203,671,744 101,835,872 50,917,936 25,458,968 12,729,484 6,364,742 3,182,371 9,547,114 4,773,557 14,320,672 7,160,336 3,580,168 1,790,084 895,042 447,521 1,342,564 671,282 335,641

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