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Atlas › Integer Profiles › Node 2,298,348

2,298,348

22 × 33 × 13 × 1637
Abundant Even Composite

2,298,348 factors as 2^2 × 3^3 × 13 × 1637. Its 48 positive divisors give a proper-divisor sum of 4,122,612, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 1637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,420,960
Proper Divisor Sum 4,122,612
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2298343 ← → #2298377

Radix Representation

Decimal 2298348
Binary 1000110001000111101100 (22 bits)
Octal 0o10610754
Hexadecimal 0x2311EC

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 1,637 3,274 4,911 6,548 9,822 14,733 19,644 21,281 29,466 42,562 44,199 58,932 63,843 85,124 88,398 127,686 176,796 191,529 255,372 383,058 574,587 766,116 1,149,174 2,298,348

Collatz Trajectory (99 steps to reach 1)

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

2,298,348 1,149,174 574,587 1,723,762 861,881 2,585,644 1,292,822 646,411 1,939,234 969,617 2,908,852 1,454,426 727,213 2,181,640 1,090,820 545,410 272,705 818,116 409,058 204,529 613,588 306,794 153,397 460,192 230,096 115,048 57,524 28,762 14,381 43,144 21,572 10,786 5,393 16,180 8,090 4,045 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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