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Atlas › Integer Profiles › Node 36,967,732

36,967,732

22 × 41 × 431 × 523
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 41 × 431 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 66,552,192
Proper Divisor Sum 29,584,460
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36967729 ← → #36967753

Radix Representation

Decimal 36967732
Binary 10001101000001010100110100 (26 bits)
Octal 0o215012464
Hexadecimal 0x2341534

Divisor Catalog (24)

1 2 4 41 82 164 431 523 862 1,046 1,724 2,092 17,671 21,443 35,342 42,886 70,684 85,772 225,413 450,826 901,652 9,241,933 18,483,866 36,967,732

Collatz Trajectory (227 steps to reach 1)

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

36,967,732 18,483,866 9,241,933 27,725,800 13,862,900 6,931,450 3,465,725 10,397,176 5,198,588 2,599,294 1,299,647 3,898,942 1,949,471 5,848,414 2,924,207 8,772,622 4,386,311 13,158,934 6,579,467 19,738,402 9,869,201 29,607,604 14,803,802 7,401,901 22,205,704 11,102,852 5,551,426 2,775,713 8,327,140 4,163,570 2,081,785 6,245,356 3,122,678 1,561,339 4,684,018 2,342,009 7,026,028 3,513,014 1,756,507 5,269,522 2,634,761 7,904,284 3,952,142 1,976,071 5,928,214 2,964,107 8,892,322 4,446,161 13,338,484 6,669,242 3,334,621 10,003,864 5,001,932 2,500,966 1,250,483 3,751,450 1,875,725 5,627,176 2,813,588 1,406,794

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