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Atlas › Integer Profiles › Node 52,307,406

52,307,406

2 × 32 × 167 × 17401
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 167 × 17401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 114,017,904
Proper Divisor Sum 61,710,498
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #52307389 ← → #52307429

Radix Representation

Decimal 52307406
Binary 11000111100010010111001110 (26 bits)
Octal 0o307422716
Hexadecimal 0x31E25CE

Divisor Catalog (24)

1 2 3 6 9 18 167 334 501 1,002 1,503 3,006 17,401 34,802 52,203 104,406 156,609 313,218 2,905,967 5,811,934 8,717,901 17,435,802 26,153,703 52,307,406

Collatz Trajectory (181 steps to reach 1)

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

52,307,406 26,153,703 78,461,110 39,230,555 117,691,666 58,845,833 176,537,500 88,268,750 44,134,375 132,403,126 66,201,563 198,604,690 99,302,345 297,907,036 148,953,518 74,476,759 223,430,278 111,715,139 335,145,418 167,572,709 502,718,128 251,359,064 125,679,532 62,839,766 31,419,883 94,259,650 47,129,825 141,389,476 70,694,738 35,347,369 106,042,108 53,021,054 26,510,527 79,531,582 39,765,791 119,297,374 59,648,687 178,946,062 89,473,031 268,419,094 134,209,547 402,628,642 201,314,321 603,942,964 301,971,482 150,985,741 452,957,224 226,478,612 113,239,306 56,619,653 169,858,960 84,929,480 42,464,740 21,232,370 10,616,185 31,848,556 15,924,278 7,962,139 23,886,418 11,943,209

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