λ
Sigma Notebook

4,714,864

24 × 7 × 11 × 43 × 89
Abundant Even Composite

4,714,864 is even and not a perfect square. Its factorization is 2^4 × 7 × 11 × 43 × 89 and its 80 divisors sum to 11,784,960.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 43 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 11,784,960
Proper Divisor Sum 7,070,096
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4714861 ← → #4714891

Radix Representation

Decimal 4714864
Binary 10001111111000101110000 (23 bits)
Octal 0o21770560
Hexadecimal 0x47F170

Divisor Catalog (60 of 80)

1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 89 112 154 172 176 178 301 308 344 356 473 602 616 623 688 712 946 979 1,204 1,232 1,246 1,424 1,892 1,958 2,408 2,492 3,311 3,784 3,827 3,916 4,816 4,984 6,622 6,853 7,568 7,654 7,832 9,968 13,244 13,706 15,308 15,664 26,488 26,789

Collatz Trajectory (74 steps to reach 1)

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

4,714,864 2,357,432 1,178,716 589,358 294,679 884,038 442,019 1,326,058 663,029 1,989,088 994,544 497,272 248,636 124,318 62,159 186,478 93,239 279,718 139,859 419,578 209,789 629,368 314,684 157,342 78,671 236,014 118,007 354,022 177,011 531,034 265,517 796,552 398,276 199,138 99,569 298,708 149,354 74,677 224,032 112,016 56,008 28,004 14,002 7,001 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832

More profiles

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