λ
Sigma Notebook

9,470,088

23 × 33 × 17 × 2579
Abundant Even Composite

9,470,088 is even and not a perfect square. Its factorization is 2^3 × 3^3 × 17 × 2579 and its 64 divisors sum to 27,864,000.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 17 × 2579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,864,000
Proper Divisor Sum 18,393,912
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9470017 ← → #9470107

Radix Representation

Decimal 9470088
Binary 100100001000000010001000 (24 bits)
Octal 0o44100210
Hexadecimal 0x908088

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1,224 1,836 2,579 3,672 5,158 7,737 10,316 15,474 20,632 23,211 30,948 43,843 46,422 61,896 69,633 87,686 92,844 131,529 139,266 175,372 185,688 263,058 278,532 350,744 394,587 526,116 557,064 789,174 1,052,232 1,183,761 1,578,348

Collatz Trajectory (163 steps to reach 1)

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

9,470,088 4,735,044 2,367,522 1,183,761 3,551,284 1,775,642 887,821 2,663,464 1,331,732 665,866 332,933 998,800 499,400 249,700 124,850 62,425 187,276 93,638 46,819 140,458 70,229 210,688 105,344 52,672 26,336 13,168 6,584 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47

More profiles

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