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Atlas › Integer Profiles › Node 4,145,292

4,145,292

22 × 32 × 113 × 1019
Abundant Even Composite

4,145,292 factors as 2^2 × 3^2 × 113 × 1019. Its 36 positive divisors give a proper-divisor sum of 6,436,188, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 113 × 1019
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,581,480
Proper Divisor Sum 6,436,188
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4145291 ← → #4145293

Radix Representation

Decimal 4145292
Binary 1111110100000010001100 (22 bits)
Octal 0o17640214
Hexadecimal 0x3F408C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 113 226 339 452 678 1,017 1,019 1,356 2,034 2,038 3,057 4,068 4,076 6,114 9,171 12,228 18,342 36,684 115,147 230,294 345,441 460,588 690,882 1,036,323 1,381,764 2,072,646 4,145,292

Collatz Trajectory (61 steps to reach 1)

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

4,145,292 2,072,646 1,036,323 3,108,970 1,554,485 4,663,456 2,331,728 1,165,864 582,932 291,466 145,733 437,200 218,600 109,300 54,650 27,325 81,976 40,988 20,494 10,247 30,742 15,371 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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