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Atlas › Integer Profiles › Node 3,488,900

3,488,900

22 × 52 × 139 × 251
Abundant Even Composite

3,488,900 factors as 2^2 × 5^2 × 139 × 251. Its 36 positive divisors give a proper-divisor sum of 4,166,860, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 139 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,655,760
Proper Divisor Sum 4,166,860
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3488897 ← → #3488917

Radix Representation

Decimal 3488900
Binary 1101010011110010000100 (22 bits)
Octal 0o15236204
Hexadecimal 0x353C84

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 139 251 278 502 556 695 1,004 1,255 1,390 2,510 2,780 3,475 5,020 6,275 6,950 12,550 13,900 25,100 34,889 69,778 139,556 174,445 348,890 697,780 872,225 1,744,450 3,488,900

Collatz Trajectory (190 steps to reach 1)

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

3,488,900 1,744,450 872,225 2,616,676 1,308,338 654,169 1,962,508 981,254 490,627 1,471,882 735,941 2,207,824 1,103,912 551,956 275,978 137,989 413,968 206,984 103,492 51,746 25,873 77,620 38,810 19,405 58,216 29,108 14,554 7,277 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860

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