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Atlas › Integer Profiles › Node 40,990,502

40,990,502

2 × 7 × 17 × 157 × 1097
Deficient Even Composite

40,990,502 factors as 2 × 7 × 17 × 157 × 1097. Its 32 positive divisors give a proper-divisor sum of 33,954,586, so this integer is deficient. The Collatz stopping time is 403 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 157 × 1097
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,945,088
Proper Divisor Sum 33,954,586
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #40990483 ← → #40990511

Radix Representation

Decimal 40990502
Binary 10011100010111011100100110 (26 bits)
Octal 0o234273446
Hexadecimal 0x2717726

Divisor Catalog (32)

1 2 7 14 17 34 119 157 238 314 1,097 1,099 2,194 2,198 2,669 5,338 7,679 15,358 18,649 18,683 37,298 37,366 130,543 172,229 261,086 344,458 1,205,603 2,411,206 2,927,893 5,855,786 20,495,251 40,990,502

Collatz Trajectory (403 steps to reach 1)

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

40,990,502 20,495,251 61,485,754 30,742,877 92,228,632 46,114,316 23,057,158 11,528,579 34,585,738 17,292,869 51,878,608 25,939,304 12,969,652 6,484,826 3,242,413 9,727,240 4,863,620 2,431,810 1,215,905 3,647,716 1,823,858 911,929 2,735,788 1,367,894 683,947 2,051,842 1,025,921 3,077,764 1,538,882 769,441 2,308,324 1,154,162 577,081 1,731,244 865,622 432,811 1,298,434 649,217 1,947,652 973,826 486,913 1,460,740 730,370 365,185 1,095,556 547,778 273,889 821,668 410,834 205,417 616,252 308,126 154,063 462,190 231,095 693,286 346,643 1,039,930 519,965 1,559,896

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