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Atlas › Integer Profiles › Node 36,967,749

36,967,749

3 × 7 × 13 × 19 × 7127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 19 × 7127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,866,880
Proper Divisor Sum 26,899,131
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #36967729 ← → #36967753

Radix Representation

Decimal 36967749
Binary 10001101000001010101000101 (26 bits)
Octal 0o215012505
Hexadecimal 0x2341545

Divisor Catalog (32)

1 3 7 13 19 21 39 57 91 133 247 273 399 741 1,729 5,187 7,127 21,381 49,889 92,651 135,413 149,667 277,953 406,239 648,557 947,891 1,760,369 1,945,671 2,843,673 5,281,107 12,322,583 36,967,749

Collatz Trajectory (227 steps to reach 1)

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

36,967,749 110,903,248 55,451,624 27,725,812 13,862,906 6,931,453 20,794,360 10,397,180 5,198,590 2,599,295 7,797,886 3,898,943 11,696,830 5,848,415 17,545,246 8,772,623 26,317,870 13,158,935 39,476,806 19,738,403 59,215,210 29,607,605 88,822,816 44,411,408 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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