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Atlas › Integer Profiles › Node 2,858,744

2,858,744

23 × 7 × 71 × 719
Abundant Even Composite

2,858,744 factors as 2^3 × 7 × 71 × 719. Its 32 positive divisors give a proper-divisor sum of 3,362,056, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 71 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,220,800
Proper Divisor Sum 3,362,056
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2858741 ← → #2858747

Radix Representation

Decimal 2858744
Binary 1010111001111011111000 (22 bits)
Octal 0o12717370
Hexadecimal 0x2B9EF8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 71 142 284 497 568 719 994 1,438 1,988 2,876 3,976 5,033 5,752 10,066 20,132 40,264 51,049 102,098 204,196 357,343 408,392 714,686 1,429,372 2,858,744

Collatz Trajectory (182 steps to reach 1)

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

2,858,744 1,429,372 714,686 357,343 1,072,030 536,015 1,608,046 804,023 2,412,070 1,206,035 3,618,106 1,809,053 5,427,160 2,713,580 1,356,790 678,395 2,035,186 1,017,593 3,052,780 1,526,390 763,195 2,289,586 1,144,793 3,434,380 1,717,190 858,595 2,575,786 1,287,893 3,863,680 1,931,840 965,920 482,960 241,480 120,740 60,370 30,185 90,556 45,278 22,639 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942 64,471 193,414 96,707 290,122 145,061 435,184 217,592 108,796

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