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Atlas › Integer Profiles › Node 4,334,048

4,334,048

25 × 17 × 31 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 17 × 31 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,362,304
Proper Divisor Sum 5,028,256
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4334041 ← → #4334087

Radix Representation

Decimal 4334048
Binary 10000100010000111100000 (23 bits)
Octal 0o20420740
Hexadecimal 0x4221E0

Divisor Catalog (48)

1 2 4 8 16 17 31 32 34 62 68 124 136 248 257 272 496 514 527 544 992 1,028 1,054 2,056 2,108 4,112 4,216 4,369 7,967 8,224 8,432 8,738 15,934 16,864 17,476 31,868 34,952 63,736 69,904 127,472 135,439 139,808 254,944 270,878 541,756 1,083,512 2,167,024 4,334,048

Collatz Trajectory (48 steps to reach 1)

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

4,334,048 2,167,024 1,083,512 541,756 270,878 135,439 406,318 203,159 609,478 304,739 914,218 457,109 1,371,328 685,664 342,832 171,416 85,708 42,854 21,427 64,282 32,141 96,424 48,212 24,106 12,053 36,160 18,080 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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