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Atlas › Integer Profiles › Node 52,688,472

52,688,472

23 × 3 × 941 × 2333
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 941 × 2333
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 131,917,680
Proper Divisor Sum 79,229,208
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #52688431 ← → #52688479

Radix Representation

Decimal 52688472
Binary 11001000111111011001011000 (26 bits)
Octal 0o310773130
Hexadecimal 0x323F658

Divisor Catalog (32)

1 2 3 4 6 8 12 24 941 1,882 2,333 2,823 3,764 4,666 5,646 6,999 7,528 9,332 11,292 13,998 18,664 22,584 27,996 55,992 2,195,353 4,390,706 6,586,059 8,781,412 13,172,118 17,562,824 26,344,236 52,688,472

Collatz Trajectory (212 steps to reach 1)

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

52,688,472 26,344,236 13,172,118 6,586,059 19,758,178 9,879,089 29,637,268 14,818,634 7,409,317 22,227,952 11,113,976 5,556,988 2,778,494 1,389,247 4,167,742 2,083,871 6,251,614 3,125,807 9,377,422 4,688,711 14,066,134 7,033,067 21,099,202 10,549,601 31,648,804 15,824,402 7,912,201 23,736,604 11,868,302 5,934,151 17,802,454 8,901,227 26,703,682 13,351,841 40,055,524 20,027,762 10,013,881 30,041,644 15,020,822 7,510,411 22,531,234 11,265,617 33,796,852 16,898,426 8,449,213 25,347,640 12,673,820 6,336,910 3,168,455 9,505,366 4,752,683 14,258,050 7,129,025 21,387,076 10,693,538 5,346,769 16,040,308 8,020,154 4,010,077 12,030,232

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