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4,379,840

26 × 5 × 13687
Abundant Even Composite

4,379,840 factors as 2^6 × 5 × 13687. Its 28 positive divisors give a proper-divisor sum of 6,050,416, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 13687
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 10,430,256
Proper Divisor Sum 6,050,416
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4379833 ← → #4379873

Radix Representation

Decimal 4379840
Binary 10000101101010011000000 (23 bits)
Octal 0o20552300
Hexadecimal 0x42D4C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 13,687 27,374 54,748 68,435 109,496 136,870 218,992 273,740 437,984 547,480 875,968 1,094,960 2,189,920 4,379,840

Collatz Trajectory (87 steps to reach 1)

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

4,379,840 2,189,920 1,094,960 547,480 273,740 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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