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4,692,436

22 × 72 × 89 × 269
Abundant Even Composite

4,692,436 factors as 2^2 × 7^2 × 89 × 269. Its 36 positive divisors give a proper-divisor sum of 5,003,264, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 89 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,695,700
Proper Divisor Sum 5,003,264
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4692431 ← → #4692463

Radix Representation

Decimal 4692436
Binary 10001111001100111010100 (23 bits)
Octal 0o21714724
Hexadecimal 0x4799D4

Divisor Catalog (36)

1 2 4 7 14 28 49 89 98 178 196 269 356 538 623 1,076 1,246 1,883 2,492 3,766 4,361 7,532 8,722 13,181 17,444 23,941 26,362 47,882 52,724 95,764 167,587 335,174 670,348 1,173,109 2,346,218 4,692,436

Collatz Trajectory (224 steps to reach 1)

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

4,692,436 2,346,218 1,173,109 3,519,328 1,759,664 879,832 439,916 219,958 109,979 329,938 164,969 494,908 247,454 123,727 371,182 185,591 556,774 278,387 835,162 417,581 1,252,744 626,372 313,186 156,593 469,780 234,890 117,445 352,336 176,168 88,084 44,042 22,021 66,064 33,032 16,516 8,258 4,129 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967

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