λ
Ratio Atlas

4,497,102

2 × 32 × 229 × 1091
Abundant Even Composite

4,497,102 factors as 2 × 3^2 × 229 × 1091. Its 24 positive divisors give a proper-divisor sum of 5,298,138, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 229 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,795,240
Proper Divisor Sum 5,298,138
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4497089 ← → #4497109

Radix Representation

Decimal 4497102
Binary 10001001001111011001110 (23 bits)
Octal 0o21117316
Hexadecimal 0x449ECE

Divisor Catalog (24)

Collatz Trajectory (193 steps to reach 1)

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

4,497,102 2,248,551 6,745,654 3,372,827 10,118,482 5,059,241 15,177,724 7,588,862 3,794,431 11,383,294 5,691,647 17,074,942 8,537,471 25,612,414 12,806,207 38,418,622 19,209,311 57,627,934 28,813,967 86,441,902 43,220,951 129,662,854 64,831,427 194,494,282 97,247,141 291,741,424 145,870,712 72,935,356 36,467,678 18,233,839 54,701,518 27,350,759 82,052,278 41,026,139 123,078,418 61,539,209 184,617,628 92,308,814 46,154,407 138,463,222 69,231,611 207,694,834 103,847,417 311,542,252 155,771,126 77,885,563 233,656,690 116,828,345 350,485,036 175,242,518 87,621,259 262,863,778 131,431,889 394,295,668 197,147,834 98,573,917 295,721,752 147,860,876 73,930,438 36,965,219

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