λ
Sigma Notebook

9,158,610

2 × 3 × 5 × 372 × 223
Abundant Even Composite

9,158,610 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 37^2 × 223 and its 48 divisors sum to 22,692,096.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37^2 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,692,096
Proper Divisor Sum 13,533,486
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9158599 ← → #9158651

Radix Representation

Decimal 9158610
Binary 100010111011111111010010 (24 bits)
Octal 0o42737722
Hexadecimal 0x8BBFD2

Divisor Catalog (48)

1 2 3 5 6 10 15 30 37 74 111 185 222 223 370 446 555 669 1,110 1,115 1,338 1,369 2,230 2,738 3,345 4,107 6,690 6,845 8,214 8,251 13,690 16,502 20,535 24,753 41,070 41,255 49,506 82,510 123,765 247,530 305,287 610,574 915,861 1,526,435 1,831,722 3,052,870 4,579,305 9,158,610

Collatz Trajectory (256 steps to reach 1)

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

9,158,610 4,579,305 13,737,916 6,868,958 3,434,479 10,303,438 5,151,719 15,455,158 7,727,579 23,182,738 11,591,369 34,774,108 17,387,054 8,693,527 26,080,582 13,040,291 39,120,874 19,560,437 58,681,312 29,340,656 14,670,328 7,335,164 3,667,582 1,833,791 5,501,374 2,750,687 8,252,062 4,126,031 12,378,094 6,189,047 18,567,142 9,283,571 27,850,714 13,925,357 41,776,072 20,888,036 10,444,018 5,222,009 15,666,028 7,833,014 3,916,507 11,749,522 5,874,761 17,624,284 8,812,142 4,406,071 13,218,214 6,609,107 19,827,322 9,913,661 29,740,984 14,870,492 7,435,246 3,717,623 11,152,870 5,576,435 16,729,306 8,364,653 25,093,960 12,546,980

More profiles

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