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Atlas › Integer Profiles › Node 2,298,540

2,298,540

22 × 3 × 5 × 29 × 1321
Abundant Even Composite

2,298,540 factors as 2^2 × 3 × 5 × 29 × 1321. Its 48 positive divisors give a proper-divisor sum of 4,364,340, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 1321
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,662,880
Proper Divisor Sum 4,364,340
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2298503 ← → #2298577

Radix Representation

Decimal 2298540
Binary 1000110001001010101100 (22 bits)
Octal 0o10611254
Hexadecimal 0x2312AC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1,321 1,740 2,642 3,963 5,284 6,605 7,926 13,210 15,852 19,815 26,420 38,309 39,630 76,618 79,260 114,927 153,236 191,545 229,854 383,090 459,708 574,635 766,180 1,149,270 2,298,540

Collatz Trajectory (99 steps to reach 1)

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

2,298,540 1,149,270 574,635 1,723,906 861,953 2,585,860 1,292,930 646,465 1,939,396 969,698 484,849 1,454,548 727,274 363,637 1,090,912 545,456 272,728 136,364 68,182 34,091 102,274 51,137 153,412 76,706 38,353 115,060 57,530 28,765 86,296 43,148 21,574 10,787 32,362 16,181 48,544 24,272 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407

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