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Atlas › Integer Profiles › Node 36,942,256

36,942,256

24 × 13 × 97 × 1831
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 13 × 97 × 1831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 77,918,624
Proper Divisor Sum 40,976,368
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #36942253 ← → #36942263

Radix Representation

Decimal 36942256
Binary 10001100111011000110110000 (26 bits)
Octal 0o214730660
Hexadecimal 0x233B1B0

Divisor Catalog (40)

1 2 4 8 13 16 26 52 97 104 194 208 388 776 1,261 1,552 1,831 2,522 3,662 5,044 7,324 10,088 14,648 20,176 23,803 29,296 47,606 95,212 177,607 190,424 355,214 380,848 710,428 1,420,856 2,308,891 2,841,712 4,617,782 9,235,564 18,471,128 36,942,256

Collatz Trajectory (121 steps to reach 1)

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

36,942,256 18,471,128 9,235,564 4,617,782 2,308,891 6,926,674 3,463,337 10,390,012 5,195,006 2,597,503 7,792,510 3,896,255 11,688,766 5,844,383 17,533,150 8,766,575 26,299,726 13,149,863 39,449,590 19,724,795 59,174,386 29,587,193 88,761,580 44,380,790 22,190,395 66,571,186 33,285,593 99,856,780 49,928,390 24,964,195 74,892,586 37,446,293 112,338,880 56,169,440 28,084,720 14,042,360 7,021,180 3,510,590 1,755,295 5,265,886 2,632,943 7,898,830 3,949,415 11,848,246 5,924,123 17,772,370 8,886,185 26,658,556 13,329,278 6,664,639 19,993,918 9,996,959 29,990,878 14,995,439 44,986,318 22,493,159 67,479,478 33,739,739 101,219,218 50,609,609

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