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Atlas › Integer Profiles › Node 2,297,992

2,297,992

23 × 17 × 61 × 277
Abundant Even Composite

2,297,992 factors as 2^3 × 17 × 61 × 277. Its 32 positive divisors give a proper-divisor sum of 2,355,728, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 61 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,653,720
Proper Divisor Sum 2,355,728
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2297987 ← → #2298007

Radix Representation

Decimal 2297992
Binary 1000110001000010001000 (22 bits)
Octal 0o10610210
Hexadecimal 0x231088

Divisor Catalog (32)

1 2 4 8 17 34 61 68 122 136 244 277 488 554 1,037 1,108 2,074 2,216 4,148 4,709 8,296 9,418 16,897 18,836 33,794 37,672 67,588 135,176 287,249 574,498 1,148,996 2,297,992

Collatz Trajectory (99 steps to reach 1)

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

2,297,992 1,148,996 574,498 287,249 861,748 430,874 215,437 646,312 323,156 161,578 80,789 242,368 121,184 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407

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