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Atlas › Integer Profiles › Node 2,873,232

2,873,232

24 × 35 × 739
Abundant Even Composite

2,873,232 factors as 2^4 × 3^5 × 739. Its 60 positive divisors give a proper-divisor sum of 5,476,928, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^4 × 3^5 × 739
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 8,350,160
Proper Divisor Sum 5,476,928
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2873231 ← → #2873249

Radix Representation

Decimal 2873232
Binary 1010111101011110010000 (22 bits)
Octal 0o12753620
Hexadecimal 0x2BD790

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 739 972 1,296 1,478 1,944 2,217 2,956 3,888 4,434 5,912 6,651 8,868 11,824 13,302 17,736 19,953 26,604 35,472 39,906 53,208 59,859 79,812 106,416 119,718 159,624 179,577 239,436 319,248 359,154 478,872 718,308 957,744 1,436,616 2,873,232

Collatz Trajectory (76 steps to reach 1)

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

2,873,232 1,436,616 718,308 359,154 179,577 538,732 269,366 134,683 404,050 202,025 606,076 303,038 151,519 454,558 227,279 681,838 340,919 1,022,758 511,379 1,534,138 767,069 2,301,208 1,150,604 575,302 287,651 862,954 431,477 1,294,432 647,216 323,608 161,804 80,902 40,451 121,354 60,677 182,032 91,016 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88

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