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Atlas › Integer Profiles › Node 4,758,784

4,758,784

28 × 29 × 641
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 29 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,841,860
Proper Divisor Sum 5,083,076
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #4758757 ← → #4758791

Radix Representation

Decimal 4758784
Binary 10010001001110100000000 (23 bits)
Octal 0o22116400
Hexadecimal 0x489D00

Divisor Catalog (36)

1 2 4 8 16 29 32 58 64 116 128 232 256 464 641 928 1,282 1,856 2,564 3,712 5,128 7,424 10,256 18,589 20,512 37,178 41,024 74,356 82,048 148,712 164,096 297,424 594,848 1,189,696 2,379,392 4,758,784

Collatz Trajectory (69 steps to reach 1)

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

4,758,784 2,379,392 1,189,696 594,848 297,424 148,712 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26

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