λ
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Atlas › Integer Profiles › Node 29,513,800

29,513,800

23 × 52 × 173 × 853
Abundant Even Composite

29,513,800 factors as 2^3 × 5^2 × 173 × 853. Its 48 positive divisors give a proper-divisor sum of 39,583,340, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 173 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 69,097,140
Proper Divisor Sum 39,583,340
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #29513789 ← → #29513831

Radix Representation

Decimal 29513800
Binary 1110000100101100001001000 (25 bits)
Octal 0o160454110
Hexadecimal 0x1C25848

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 853 865 1,384 1,706 1,730 3,412 3,460 4,265 4,325 6,824 6,920 8,530 8,650 17,060 17,300 21,325 34,120 34,600 42,650 85,300 147,569 170,600 295,138 590,276 737,845 1,180,552 1,475,690 2,951,380 3,689,225 5,902,760 7,378,450 14,756,900 29,513,800

Collatz Trajectory (268 steps to reach 1)

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

29,513,800 14,756,900 7,378,450 3,689,225 11,067,676 5,533,838 2,766,919 8,300,758 4,150,379 12,451,138 6,225,569 18,676,708 9,338,354 4,669,177 14,007,532 7,003,766 3,501,883 10,505,650 5,252,825 15,758,476 7,879,238 3,939,619 11,818,858 5,909,429 17,728,288 8,864,144 4,432,072 2,216,036 1,108,018 554,009 1,662,028 831,014 415,507 1,246,522 623,261 1,869,784 934,892 467,446 233,723 701,170 350,585 1,051,756 525,878 262,939 788,818 394,409 1,183,228 591,614 295,807 887,422 443,711 1,331,134 665,567 1,996,702 998,351 2,995,054 1,497,527 4,492,582 2,246,291 6,738,874

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