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Atlas › Integer Profiles › Node 47,876,172

47,876,172

22 × 3 × 53 × 75277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 75277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 113,820,336
Proper Divisor Sum 65,944,164
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #47876137 ← → #47876173

Radix Representation

Decimal 47876172
Binary 10110110101000100001001100 (26 bits)
Octal 0o266504114
Hexadecimal 0x2DA884C

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 75,277 150,554 225,831 301,108 451,662 903,324 3,989,681 7,979,362 11,969,043 15,958,724 23,938,086 47,876,172

Collatz Trajectory (142 steps to reach 1)

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

47,876,172 23,938,086 11,969,043 35,907,130 17,953,565 53,860,696 26,930,348 13,465,174 6,732,587 20,197,762 10,098,881 30,296,644 15,148,322 7,574,161 22,722,484 11,361,242 5,680,621 17,041,864 8,520,932 4,260,466 2,130,233 6,390,700 3,195,350 1,597,675 4,793,026 2,396,513 7,189,540 3,594,770 1,797,385 5,392,156 2,696,078 1,348,039 4,044,118 2,022,059 6,066,178 3,033,089 9,099,268 4,549,634 2,274,817 6,824,452 3,412,226 1,706,113 5,118,340 2,559,170 1,279,585 3,838,756 1,919,378 959,689 2,879,068 1,439,534 719,767 2,159,302 1,079,651 3,238,954 1,619,477 4,858,432 2,429,216 1,214,608 607,304 303,652

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