λ
Integer Codex

7,842,263

11 × 13 × 173 × 317
Deficient Odd Composite

For 7,842,263, the 16 positive divisors have a total of 9,295,776. Removing 7,842,263 leaves 1,453,513, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 13 × 173 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,295,776
Proper Divisor Sum 1,453,513
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7842259 ← → #7842271

Radix Representation

Decimal 7842263
Binary 11101111010100111010111 (23 bits)
Octal 0o35724727
Hexadecimal 0x77A9D7

Divisor Catalog (16)

1 11 13 143 173 317 1,903 2,249 3,487 4,121 24,739 45,331 54,841 603,251 712,933 7,842,263

Collatz Trajectory (173 steps to reach 1)

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

7,842,263 23,526,790 11,763,395 35,290,186 17,645,093 52,935,280 26,467,640 13,233,820 6,616,910 3,308,455 9,925,366 4,962,683 14,888,050 7,444,025 22,332,076 11,166,038 5,583,019 16,749,058 8,374,529 25,123,588 12,561,794 6,280,897 18,842,692 9,421,346 4,710,673 14,132,020 7,066,010 3,533,005 10,599,016 5,299,508 2,649,754 1,324,877 3,974,632 1,987,316 993,658 496,829 1,490,488 745,244 372,622 186,311 558,934 279,467 838,402 419,201 1,257,604 628,802 314,401 943,204 471,602 235,801 707,404 353,702 176,851 530,554 265,277 795,832 397,916 198,958 99,479 298,438

More profiles

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