λ
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Atlas › Integer Profiles › Node 55,462,900

55,462,900

22 × 52 × 19 × 29191
Abundant Even Composite

55,462,900 factors as 2^2 × 5^2 × 19 × 29191. Its 36 positive divisors give a proper-divisor sum of 71,230,380, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 19 × 29191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 126,693,280
Proper Divisor Sum 71,230,380
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #55462861 ← → #55462907

Radix Representation

Decimal 55462900
Binary 11010011100100101111110100 (26 bits)
Octal 0o323445764
Hexadecimal 0x34E4BF4

Divisor Catalog (36)

1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1,900 29,191 58,382 116,764 145,955 291,910 554,629 583,820 729,775 1,109,258 1,459,550 2,218,516 2,773,145 2,919,100 5,546,290 11,092,580 13,865,725 27,731,450 55,462,900

Collatz Trajectory (163 steps to reach 1)

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

55,462,900 27,731,450 13,865,725 41,597,176 20,798,588 10,399,294 5,199,647 15,598,942 7,799,471 23,398,414 11,699,207 35,097,622 17,548,811 52,646,434 26,323,217 78,969,652 39,484,826 19,742,413 59,227,240 29,613,620 14,806,810 7,403,405 22,210,216 11,105,108 5,552,554 2,776,277 8,328,832 4,164,416 2,082,208 1,041,104 520,552 260,276 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642

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