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Atlas › Integer Profiles › Node 4,334,080

4,334,080

29 × 5 × 1693
Abundant Even Composite

4,334,080 factors as 2^9 × 5 × 1693. Its 40 positive divisors give a proper-divisor sum of 6,063,692, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^9 × 5 × 1693
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,397,772
Proper Divisor Sum 6,063,692
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4334041 ← → #4334087

Radix Representation

Decimal 4334080
Binary 10000100010001000000000 (23 bits)
Octal 0o20421000
Hexadecimal 0x422200

Divisor Catalog (40)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1,280 1,693 2,560 3,386 6,772 8,465 13,544 16,930 27,088 33,860 54,176 67,720 108,352 135,440 216,704 270,880 433,408 541,760 866,816 1,083,520 2,167,040 4,334,080

Collatz Trajectory (92 steps to reach 1)

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

4,334,080 2,167,040 1,083,520 541,760 270,880 135,440 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

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