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Atlas › Integer Profiles › Node 4,862,268

4,862,268

22 × 34 × 43 × 349
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 43 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 13,043,800
Proper Divisor Sum 8,181,532
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4862261 ← → #4862279

Radix Representation

Decimal 4862268
Binary 10010100011000100111100 (23 bits)
Octal 0o22430474
Hexadecimal 0x4A313C

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 349 387 516 698 774 1,047 1,161 1,396 1,548 2,094 2,322 3,141 3,483 4,188 4,644 6,282 6,966 9,423 12,564 13,932 15,007 18,846 28,269 30,014 37,692 45,021 56,538 60,028 90,042 113,076 135,063 180,084 270,126 405,189 540,252 810,378 1,215,567 1,620,756 2,431,134 4,862,268

Collatz Trajectory (113 steps to reach 1)

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

4,862,268 2,431,134 1,215,567 3,646,702 1,823,351 5,470,054 2,735,027 8,205,082 4,102,541 12,307,624 6,153,812 3,076,906 1,538,453 4,615,360 2,307,680 1,153,840 576,920 288,460 144,230 72,115 216,346 108,173 324,520 162,260 81,130 40,565 121,696 60,848 30,424 15,212 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860

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