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2,767,712

25 × 86491
Deficient Even Composite

2,767,712 factors as 2^5 × 86491. Its 12 positive divisors give a proper-divisor sum of 2,681,284, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^5 × 86491
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,448,996
Proper Divisor Sum 2,681,284
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2767697 ← → #2767717

Radix Representation

Decimal 2767712
Binary 1010100011101101100000 (22 bits)
Octal 0o12435540
Hexadecimal 0x2A3B60

Divisor Catalog (12)

1 2 4 8 16 32 86,491 172,982 345,964 691,928 1,383,856 2,767,712

Collatz Trajectory (76 steps to reach 1)

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

2,767,712 1,383,856 691,928 345,964 172,982 86,491 259,474 129,737 389,212 194,606 97,303 291,910 145,955 437,866 218,933 656,800 328,400 164,200 82,100 41,050 20,525 61,576 30,788 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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