λ
Sigma Notebook

2,782,749

3 × 107 × 8669
Deficient Odd Composite

2,782,749 is odd and not a perfect square. Its factorization is 3 × 107 × 8669 and its 8 divisors sum to 3,745,440.

Prime Factor Structure

Factorization String 3 × 107 × 8669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,745,440
Proper Divisor Sum 962,691
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2782727 ← → #2782757

Radix Representation

Decimal 2782749
Binary 1010100111011000011101 (22 bits)
Octal 0o12473035
Hexadecimal 0x2A761D

Divisor Catalog (8)

1 3 107 321 8,669 26,007 927,583 2,782,749

Collatz Trajectory (182 steps to reach 1)

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

2,782,749 8,348,248 4,174,124 2,087,062 1,043,531 3,130,594 1,565,297 4,695,892 2,347,946 1,173,973 3,521,920 1,760,960 880,480 440,240 220,120 110,060 55,030 27,515 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657

More profiles

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