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Atlas › Integer Profiles › Node 13,601,938

13,601,938

2 × 7 × 17 × 67 × 853
Deficient Even Composite

13,601,938 factors as 2 × 7 × 17 × 67 × 853. Its 32 positive divisors give a proper-divisor sum of 11,485,166, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 67 × 853
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,087,104
Proper Divisor Sum 11,485,166
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13601933 ← → #13601981

Radix Representation

Decimal 13601938
Binary 110011111000110010010010 (24 bits)
Octal 0o63706222
Hexadecimal 0xCF8C92

Divisor Catalog (32)

1 2 7 14 17 34 67 119 134 238 469 853 938 1,139 1,706 2,278 5,971 7,973 11,942 14,501 15,946 29,002 57,151 101,507 114,302 203,014 400,057 800,114 971,567 1,943,134 6,800,969 13,601,938

Collatz Trajectory (254 steps to reach 1)

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

13,601,938 6,800,969 20,402,908 10,201,454 5,100,727 15,302,182 7,651,091 22,953,274 11,476,637 34,429,912 17,214,956 8,607,478 4,303,739 12,911,218 6,455,609 19,366,828 9,683,414 4,841,707 14,525,122 7,262,561 21,787,684 10,893,842 5,446,921 16,340,764 8,170,382 4,085,191 12,255,574 6,127,787 18,383,362 9,191,681 27,575,044 13,787,522 6,893,761 20,681,284 10,340,642 5,170,321 15,510,964 7,755,482 3,877,741 11,633,224 5,816,612 2,908,306 1,454,153 4,362,460 2,181,230 1,090,615 3,271,846 1,635,923 4,907,770 2,453,885 7,361,656 3,680,828 1,840,414 920,207 2,760,622 1,380,311 4,140,934 2,070,467 6,211,402 3,105,701

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