λ
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Atlas › Integer Profiles › Node 13,930,882

13,930,882

2 × 7 × 43 × 73 × 317
Deficient Even Composite

13,930,882 factors as 2 × 7 × 43 × 73 × 317. Its 32 positive divisors give a proper-divisor sum of 10,918,910, so this integer is deficient. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 2 × 7 × 43 × 73 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,849,792
Proper Divisor Sum 10,918,910
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #13930879 ← → #13930883

Radix Representation

Decimal 13930882
Binary 110101001001000110000010 (24 bits)
Octal 0o65110602
Hexadecimal 0xD49182

Divisor Catalog (32)

1 2 7 14 43 73 86 146 301 317 511 602 634 1,022 2,219 3,139 4,438 6,278 13,631 21,973 23,141 27,262 43,946 46,282 95,417 161,987 190,834 323,974 995,063 1,990,126 6,965,441 13,930,882

Collatz Trajectory (236 steps to reach 1)

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

13,930,882 6,965,441 20,896,324 10,448,162 5,224,081 15,672,244 7,836,122 3,918,061 11,754,184 5,877,092 2,938,546 1,469,273 4,407,820 2,203,910 1,101,955 3,305,866 1,652,933 4,958,800 2,479,400 1,239,700 619,850 309,925 929,776 464,888 232,444 116,222 58,111 174,334 87,167 261,502 130,751 392,254 196,127 588,382 294,191 882,574 441,287 1,323,862 661,931 1,985,794 992,897 2,978,692 1,489,346 744,673 2,234,020 1,117,010 558,505 1,675,516 837,758 418,879 1,256,638 628,319 1,884,958 942,479 2,827,438 1,413,719 4,241,158 2,120,579 6,361,738 3,180,869

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