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Atlas › Integer Profiles › Node 36,966,566

36,966,566

2 × 7 × 13 × 23 × 8831
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 23 × 8831
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,221,248
Proper Divisor Sum 34,254,682
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #36966563 ← → #36966569

Radix Representation

Decimal 36966566
Binary 10001101000001000010100110 (26 bits)
Octal 0o215010246
Hexadecimal 0x23410A6

Divisor Catalog (32)

1 2 7 13 14 23 26 46 91 161 182 299 322 598 2,093 4,186 8,831 17,662 61,817 114,803 123,634 203,113 229,606 406,226 803,621 1,421,791 1,607,242 2,640,469 2,843,582 5,280,938 18,483,283 36,966,566

Collatz Trajectory (165 steps to reach 1)

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

36,966,566 18,483,283 55,449,850 27,724,925 83,174,776 41,587,388 20,793,694 10,396,847 31,190,542 15,595,271 46,785,814 23,392,907 70,178,722 35,089,361 105,268,084 52,634,042 26,317,021 78,951,064 39,475,532 19,737,766 9,868,883 29,606,650 14,803,325 44,409,976 22,204,988 11,102,494 5,551,247 16,653,742 8,326,871 24,980,614 12,490,307 37,470,922 18,735,461 56,206,384 28,103,192 14,051,596 7,025,798 3,512,899 10,538,698 5,269,349 15,808,048 7,904,024 3,952,012 1,976,006 988,003 2,964,010 1,482,005 4,446,016 2,223,008 1,111,504 555,752 277,876 138,938 69,469 208,408 104,204 52,102 26,051 78,154 39,077

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