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948,740

22 × 5 × 13 × 41 × 89
Abundant Even Composite

948,740 factors as 2^2 × 5 × 13 × 41 × 89. Its 48 positive divisors give a proper-divisor sum of 1,273,900, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 41 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,222,640
Proper Divisor Sum 1,273,900
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #948721 ← → #948749

Radix Representation

Decimal 948740
Binary 11100111101000000100 (20 bits)
Octal 0o3475004
Hexadecimal 0xE7A04

Divisor Catalog (48)

1 2 4 5 10 13 20 26 41 52 65 82 89 130 164 178 205 260 356 410 445 533 820 890 1,066 1,157 1,780 2,132 2,314 2,665 3,649 4,628 5,330 5,785 7,298 10,660 11,570 14,596 18,245 23,140 36,490 47,437 72,980 94,874 189,748 237,185 474,370 948,740

Collatz Trajectory (126 steps to reach 1)

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

948,740 474,370 237,185 711,556 355,778 177,889 533,668 266,834 133,417 400,252 200,126 100,063 300,190 150,095 450,286 225,143 675,430 337,715 1,013,146 506,573 1,519,720 759,860 379,930 189,965 569,896 284,948 142,474 71,237 213,712 106,856 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006

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