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4,337,442

2 × 33 × 47 × 1709
Abundant Even Composite

4,337,442 factors as 2 × 3^3 × 47 × 1709. Its 32 positive divisors give a proper-divisor sum of 5,512,158, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 47 × 1709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,849,600
Proper Divisor Sum 5,512,158
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4337429 ← → #4337447

Radix Representation

Decimal 4337442
Binary 10000100010111100100010 (23 bits)
Octal 0o20427442
Hexadecimal 0x422F22

Divisor Catalog (32)

1 2 3 6 9 18 27 47 54 94 141 282 423 846 1,269 1,709 2,538 3,418 5,127 10,254 15,381 30,762 46,143 80,323 92,286 160,646 240,969 481,938 722,907 1,445,814 2,168,721 4,337,442

Collatz Trajectory (167 steps to reach 1)

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

4,337,442 2,168,721 6,506,164 3,253,082 1,626,541 4,879,624 2,439,812 1,219,906 609,953 1,829,860 914,930 457,465 1,372,396 686,198 343,099 1,029,298 514,649 1,543,948 771,974 385,987 1,157,962 578,981 1,736,944 868,472 434,236 217,118 108,559 325,678 162,839 488,518 244,259 732,778 366,389 1,099,168 549,584 274,792 137,396 68,698 34,349 103,048 51,524 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520

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