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4,249,002

2 × 3 × 432 × 383
Abundant Even Composite

4,249,002 factors as 2 × 3 × 43^2 × 383. Its 24 positive divisors give a proper-divisor sum of 4,473,942, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 3 × 43^2 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,722,944
Proper Divisor Sum 4,473,942
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4248991 ← → #4249067

Radix Representation

Decimal 4249002
Binary 10000001101010110101010 (23 bits)
Octal 0o20152652
Hexadecimal 0x40D5AA

Divisor Catalog (24)

1 2 3 6 43 86 129 258 383 766 1,149 1,849 2,298 3,698 5,547 11,094 16,469 32,938 49,407 98,814 708,167 1,416,334 2,124,501 4,249,002

Collatz Trajectory (149 steps to reach 1)

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

4,249,002 2,124,501 6,373,504 3,186,752 1,593,376 796,688 398,344 199,172 99,586 49,793 149,380 74,690 37,345 112,036 56,018 28,009 84,028 42,014 21,007 63,022 31,511 94,534 47,267 141,802 70,901 212,704 106,352 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963

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