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Atlas › Integer Profiles › Node 2,768,744

2,768,744

23 × 11 × 73 × 431
Abundant Even Composite

2,768,744 factors as 2^3 × 11 × 73 × 431. Its 32 positive divisors give a proper-divisor sum of 2,985,496, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 73 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,754,240
Proper Divisor Sum 2,985,496
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2768683 ← → #2768767

Radix Representation

Decimal 2768744
Binary 1010100011111101101000 (22 bits)
Octal 0o12437550
Hexadecimal 0x2A3F68

Divisor Catalog (32)

1 2 4 8 11 22 44 73 88 146 292 431 584 803 862 1,606 1,724 3,212 3,448 4,741 6,424 9,482 18,964 31,463 37,928 62,926 125,852 251,704 346,093 692,186 1,384,372 2,768,744

Collatz Trajectory (169 steps to reach 1)

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

2,768,744 1,384,372 692,186 346,093 1,038,280 519,140 259,570 129,785 389,356 194,678 97,339 292,018 146,009 438,028 219,014 109,507 328,522 164,261 492,784 246,392 123,196 61,598 30,799 92,398 46,199 138,598 69,299 207,898 103,949 311,848 155,924 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82

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