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Atlas › Integer Profiles › Node 37,972,764

37,972,764

22 × 32 × 17 × 62047
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 62047
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 101,634,624
Proper Divisor Sum 63,661,860
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #37972763 ← → #37972769

Radix Representation

Decimal 37972764
Binary 10010000110110101100011100 (26 bits)
Octal 0o220665434
Hexadecimal 0x2436B1C

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 62,047 124,094 186,141 248,188 372,282 558,423 744,564 1,054,799 1,116,846 2,109,598 2,233,692 3,164,397 4,219,196 6,328,794 9,493,191 12,657,588 18,986,382 37,972,764

Collatz Trajectory (209 steps to reach 1)

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

37,972,764 18,986,382 9,493,191 28,479,574 14,239,787 42,719,362 21,359,681 64,079,044 32,039,522 16,019,761 48,059,284 24,029,642 12,014,821 36,044,464 18,022,232 9,011,116 4,505,558 2,252,779 6,758,338 3,379,169 10,137,508 5,068,754 2,534,377 7,603,132 3,801,566 1,900,783 5,702,350 2,851,175 8,553,526 4,276,763 12,830,290 6,415,145 19,245,436 9,622,718 4,811,359 14,434,078 7,217,039 21,651,118 10,825,559 32,476,678 16,238,339 48,715,018 24,357,509 73,072,528 36,536,264 18,268,132 9,134,066 4,567,033 13,701,100 6,850,550 3,425,275 10,275,826 5,137,913 15,413,740 7,706,870 3,853,435 11,560,306 5,780,153 17,340,460 8,670,230

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