λ
Sigma Notebook

9,764,670

2 × 3 × 5 × 19 × 37 × 463
Abundant Even Composite

9,764,670 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 19 × 37 × 463 and its 64 divisors sum to 25,390,080.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 37 × 463
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,390,080
Proper Divisor Sum 15,625,410
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9764663 ← → #9764687

Radix Representation

Decimal 9764670
Binary 100101001111111100111110 (24 bits)
Octal 0o45177476
Hexadecimal 0x94FF3E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 463 555 570 703 926 1,110 1,389 1,406 2,109 2,315 2,778 3,515 4,218 4,630 6,945 7,030 8,797 10,545 13,890 17,131 17,594 21,090 26,391 34,262 43,985 51,393 52,782 85,655 87,970 102,786 131,955 171,310 256,965 263,910 325,489 513,930 650,978 976,467 1,627,445

Collatz Trajectory (176 steps to reach 1)

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

9,764,670 4,882,335 14,647,006 7,323,503 21,970,510 10,985,255 32,955,766 16,477,883 49,433,650 24,716,825 74,150,476 37,075,238 18,537,619 55,612,858 27,806,429 83,419,288 41,709,644 20,854,822 10,427,411 31,282,234 15,641,117 46,923,352 23,461,676 11,730,838 5,865,419 17,596,258 8,798,129 26,394,388 13,197,194 6,598,597 19,795,792 9,897,896 4,948,948 2,474,474 1,237,237 3,711,712 1,855,856 927,928 463,964 231,982 115,991 347,974 173,987 521,962 260,981 782,944 391,472 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936

More profiles

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