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Atlas › Integer Profiles › Node 52,020,164

52,020,164

22 × 72 × 47 × 5647
Abundant Even Composite

52,020,164 factors as 2^2 × 7^2 × 47 × 5647. Its 36 positive divisors give a proper-divisor sum of 56,150,332, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 47 × 5647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 108,170,496
Proper Divisor Sum 56,150,332
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #52020149 ← → #52020169

Radix Representation

Decimal 52020164
Binary 11000110011100001111000100 (26 bits)
Octal 0o306341704
Hexadecimal 0x319C3C4

Divisor Catalog (36)

1 2 4 7 14 28 47 49 94 98 188 196 329 658 1,316 2,303 4,606 5,647 9,212 11,294 22,588 39,529 79,058 158,116 265,409 276,703 530,818 553,406 1,061,636 1,106,812 1,857,863 3,715,726 7,431,452 13,005,041 26,010,082 52,020,164

Collatz Trajectory (212 steps to reach 1)

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

52,020,164 26,010,082 13,005,041 39,015,124 19,507,562 9,753,781 29,261,344 14,630,672 7,315,336 3,657,668 1,828,834 914,417 2,743,252 1,371,626 685,813 2,057,440 1,028,720 514,360 257,180 128,590 64,295 192,886 96,443 289,330 144,665 433,996 216,998 108,499 325,498 162,749 488,248 244,124 122,062 61,031 183,094 91,547 274,642 137,321 411,964 205,982 102,991 308,974 154,487 463,462 231,731 695,194 347,597 1,042,792 521,396 260,698 130,349 391,048 195,524 97,762 48,881 146,644 73,322 36,661 109,984 54,992

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