λ
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Atlas › Integer Profiles › Node 52,739,180

52,739,180

22 × 5 × 13 × 193 × 1051
Abundant Even Composite

52,739,180 factors as 2^2 × 5 × 13 × 193 × 1051. Its 48 positive divisors give a proper-divisor sum of 67,264,564, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 193 × 1051
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 120,003,744
Proper Divisor Sum 67,264,564
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #52739177 ← → #52739189

Radix Representation

Decimal 52739180
Binary 11001001001011110001101100 (26 bits)
Octal 0o311136154
Hexadecimal 0x324BC6C

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1,051 1,930 2,102 2,509 3,860 4,204 5,018 5,255 10,036 10,510 12,545 13,663 21,020 25,090 27,326 50,180 54,652 68,315 136,630 202,843 273,260 405,686 811,372 1,014,215 2,028,430 2,636,959 4,056,860 5,273,918 10,547,836 13,184,795 26,369,590 52,739,180

Collatz Trajectory (225 steps to reach 1)

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

52,739,180 26,369,590 13,184,795 39,554,386 19,777,193 59,331,580 29,665,790 14,832,895 44,498,686 22,249,343 66,748,030 33,374,015 100,122,046 50,061,023 150,183,070 75,091,535 225,274,606 112,637,303 337,911,910 168,955,955 506,867,866 253,433,933 760,301,800 380,150,900 190,075,450 95,037,725 285,113,176 142,556,588 71,278,294 35,639,147 106,917,442 53,458,721 160,376,164 80,188,082 40,094,041 120,282,124 60,141,062 30,070,531 90,211,594 45,105,797 135,317,392 67,658,696 33,829,348 16,914,674 8,457,337 25,372,012 12,686,006 6,343,003 19,029,010 9,514,505 28,543,516 14,271,758 7,135,879 21,407,638 10,703,819 32,111,458 16,055,729 48,167,188 24,083,594 12,041,797

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