λ
Integer Codex

7,765,804

22 × 17 × 114203
Deficient Even Composite

For 7,765,804, the 12 positive divisors have a total of 14,389,704. Removing 7,765,804 leaves 6,623,900, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 17 × 114203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,389,704
Proper Divisor Sum 6,623,900
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7765783 ← → #7765829

Radix Representation

Decimal 7765804
Binary 11101100111111100101100 (23 bits)
Octal 0o35477454
Hexadecimal 0x767F2C

Divisor Catalog (12)

1 2 4 17 34 68 114,203 228,406 456,812 1,941,451 3,882,902 7,765,804

Collatz Trajectory (93 steps to reach 1)

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

7,765,804 3,882,902 1,941,451 5,824,354 2,912,177 8,736,532 4,368,266 2,184,133 6,552,400 3,276,200 1,638,100 819,050 409,525 1,228,576 614,288 307,144 153,572 76,786 38,393 115,180 57,590 28,795 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229

More profiles

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