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Atlas › Integer Profiles › Node 4,157,664

4,157,664

25 × 3 × 7 × 23 × 269
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 23 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 13,063,680
Proper Divisor Sum 8,906,016
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4157663 ← → #4157669

Radix Representation

Decimal 4157664
Binary 1111110111000011100000 (22 bits)
Octal 0o17670340
Hexadecimal 0x3F70E0

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 269 276 322 336 368 483 538 552 644 672 736 807 966 1,076 1,104 1,288 1,614 1,883 1,932 2,152 2,208 2,576 3,228 3,766 3,864 4,304 5,152 5,649 6,187 6,456 7,532

Collatz Trajectory (74 steps to reach 1)

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

4,157,664 2,078,832 1,039,416 519,708 259,854 129,927 389,782 194,891 584,674 292,337 877,012 438,506 219,253 657,760 328,880 164,440 82,220 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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