λ
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10,241,970

2 × 3 × 5 × 37 × 9227
Abundant Even Composite

10,241,970 factors as 2 × 3 × 5 × 37 × 9227. Its 32 positive divisors give a proper-divisor sum of 15,005,838, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37 × 9227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,247,808
Proper Divisor Sum 15,005,838
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10241947 ← → #10241977

Radix Representation

Decimal 10241970
Binary 100111000100011110110010 (24 bits)
Octal 0o47043662
Hexadecimal 0x9C47B2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1,110 9,227 18,454 27,681 46,135 55,362 92,270 138,405 276,810 341,399 682,798 1,024,197 1,706,995 2,048,394 3,413,990 5,120,985 10,241,970

Collatz Trajectory (83 steps to reach 1)

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

10,241,970 5,120,985 15,362,956 7,681,478 3,840,739 11,522,218 5,761,109 17,283,328 8,641,664 4,320,832 2,160,416 1,080,208 540,104 270,052 135,026 67,513 202,540 101,270 50,635 151,906 75,953 227,860 113,930 56,965 170,896 85,448 42,724 21,362 10,681 32,044 16,022 8,011 24,034 12,017 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304

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