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Atlas › Integer Profiles › Node 4,127,976

4,127,976

23 × 33 × 29 × 659
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 29 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,880,000
Proper Divisor Sum 7,752,024
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4127951 ← → #4127983

Radix Representation

Decimal 4127976
Binary 1111101111110011101000 (22 bits)
Octal 0o17576350
Hexadecimal 0x3EFCE8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 659 696 783 1,044 1,318 1,566 1,977 2,088 2,636 3,132 3,954 5,272 5,931 6,264 7,908 11,862 15,816 17,793 19,111 23,724 35,586 38,222 47,448 57,333 71,172 76,444 114,666 142,344 152,888 171,999 229,332 343,998 458,664 515,997 687,996

Collatz Trajectory (198 steps to reach 1)

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

4,127,976 2,063,988 1,031,994 515,997 1,547,992 773,996 386,998 193,499 580,498 290,249 870,748 435,374 217,687 653,062 326,531 979,594 489,797 1,469,392 734,696 367,348 183,674 91,837 275,512 137,756 68,878 34,439 103,318 51,659 154,978 77,489 232,468 116,234 58,117 174,352 87,176 43,588 21,794 10,897 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367

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