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Atlas › Integer Profiles › Node 57,767,442

57,767,442

2 × 3 × 41 × 449 × 523
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 41 × 449 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 118,843,200
Proper Divisor Sum 61,075,758
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57767441 ← → #57767443

Radix Representation

Decimal 57767442
Binary 11011100010111011000010010 (26 bits)
Octal 0o334273022
Hexadecimal 0x3717612

Divisor Catalog (32)

1 2 3 6 41 82 123 246 449 523 898 1,046 1,347 1,569 2,694 3,138 18,409 21,443 36,818 42,886 55,227 64,329 110,454 128,658 234,827 469,654 704,481 1,408,962 9,627,907 19,255,814 28,883,721 57,767,442

Collatz Trajectory (194 steps to reach 1)

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

57,767,442 28,883,721 86,651,164 43,325,582 21,662,791 64,988,374 32,494,187 97,482,562 48,741,281 146,223,844 73,111,922 36,555,961 109,667,884 54,833,942 27,416,971 82,250,914 41,125,457 123,376,372 61,688,186 30,844,093 92,532,280 46,266,140 23,133,070 11,566,535 34,699,606 17,349,803 52,049,410 26,024,705 78,074,116 39,037,058 19,518,529 58,555,588 29,277,794 14,638,897 43,916,692 21,958,346 10,979,173 32,937,520 16,468,760 8,234,380 4,117,190 2,058,595 6,175,786 3,087,893 9,263,680 4,631,840 2,315,920 1,157,960 578,980 289,490 144,745 434,236 217,118 108,559 325,678 162,839 488,518 244,259 732,778 366,389

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