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Atlas › Integer Profiles › Node 930,776

930,776

23 × 7 × 11 × 1511
Abundant Even Composite

930,776 factors as 2^3 × 7 × 11 × 1511. Its 32 positive divisors give a proper-divisor sum of 1,246,504, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 1511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,177,280
Proper Divisor Sum 1,246,504
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #930773 ← → #930779

Radix Representation

Decimal 930776
Binary 11100011001111011000 (20 bits)
Octal 0o3431730
Hexadecimal 0xE33D8

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1,511 3,022 6,044 10,577 12,088 16,621 21,154 33,242 42,308 66,484 84,616 116,347 132,968 232,694 465,388 930,776

Collatz Trajectory (77 steps to reach 1)

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

930,776 465,388 232,694 116,347 349,042 174,521 523,564 261,782 130,891 392,674 196,337 589,012 294,506 147,253 441,760 220,880 110,440 55,220 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

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