λ
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Atlas › Integer Profiles › Node 29,257,520

29,257,520

24 × 5 × 29 × 12611
Abundant Even Composite

29,257,520 factors as 2^4 × 5 × 29 × 12611. Its 40 positive divisors give a proper-divisor sum of 41,117,440, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 12611
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 70,374,960
Proper Divisor Sum 41,117,440
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #29257489 ← → #29257531

Radix Representation

Decimal 29257520
Binary 1101111100110111100110000 (25 bits)
Octal 0o157467460
Hexadecimal 0x1BE6F30

Divisor Catalog (40)

1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1,160 2,320 12,611 25,222 50,444 63,055 100,888 126,110 201,776 252,220 365,719 504,440 731,438 1,008,880 1,462,876 1,828,595 2,925,752 3,657,190 5,851,504 7,314,380 14,628,760 29,257,520

Collatz Trajectory (268 steps to reach 1)

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

29,257,520 14,628,760 7,314,380 3,657,190 1,828,595 5,485,786 2,742,893 8,228,680 4,114,340 2,057,170 1,028,585 3,085,756 1,542,878 771,439 2,314,318 1,157,159 3,471,478 1,735,739 5,207,218 2,603,609 7,810,828 3,905,414 1,952,707 5,858,122 2,929,061 8,787,184 4,393,592 2,196,796 1,098,398 549,199 1,647,598 823,799 2,471,398 1,235,699 3,707,098 1,853,549 5,560,648 2,780,324 1,390,162 695,081 2,085,244 1,042,622 521,311 1,563,934 781,967 2,345,902 1,172,951 3,518,854 1,759,427 5,278,282 2,639,141 7,917,424 3,958,712 1,979,356 989,678 494,839 1,484,518 742,259 2,226,778 1,113,389

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