λ
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Atlas › Integer Profiles › Node 3,450,180

3,450,180

22 × 3 × 5 × 57503
Abundant Even Composite

3,450,180 factors as 2^2 × 3 × 5 × 57503. Its 24 positive divisors give a proper-divisor sum of 6,210,492, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 57503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,660,672
Proper Divisor Sum 6,210,492
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3450179 ← → #3450197

Radix Representation

Decimal 3450180
Binary 1101001010010101000100 (22 bits)
Octal 0o15122504
Hexadecimal 0x34A544

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 57,503 115,006 172,509 230,012 287,515 345,018 575,030 690,036 862,545 1,150,060 1,725,090 3,450,180

Collatz Trajectory (146 steps to reach 1)

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

3,450,180 1,725,090 862,545 2,587,636 1,293,818 646,909 1,940,728 970,364 485,182 242,591 727,774 363,887 1,091,662 545,831 1,637,494 818,747 2,456,242 1,228,121 3,684,364 1,842,182 921,091 2,763,274 1,381,637 4,144,912 2,072,456 1,036,228 518,114 259,057 777,172 388,586 194,293 582,880 291,440 145,720 72,860 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886

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