λ
Integer Codex

6,080,116

22 × 72 × 67 × 463
Abundant Even Composite

For 6,080,116, the 36 positive divisors have a total of 12,589,248. Removing 6,080,116 leaves 6,509,132, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 67 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,589,248
Proper Divisor Sum 6,509,132
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6080069 ← → #6080131

Radix Representation

Decimal 6080116
Binary 10111001100011001110100 (23 bits)
Octal 0o27143164
Hexadecimal 0x5CC674

Divisor Catalog (36)

1 2 4 7 14 28 49 67 98 134 196 268 463 469 926 938 1,852 1,876 3,241 3,283 6,482 6,566 12,964 13,132 22,687 31,021 45,374 62,042 90,748 124,084 217,147 434,294 868,588 1,520,029 3,040,058 6,080,116

Collatz Trajectory (139 steps to reach 1)

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

6,080,116 3,040,058 1,520,029 4,560,088 2,280,044 1,140,022 570,011 1,710,034 855,017 2,565,052 1,282,526 641,263 1,923,790 961,895 2,885,686 1,442,843 4,328,530 2,164,265 6,492,796 3,246,398 1,623,199 4,869,598 2,434,799 7,304,398 3,652,199 10,956,598 5,478,299 16,434,898 8,217,449 24,652,348 12,326,174 6,163,087 18,489,262 9,244,631 27,733,894 13,866,947 41,600,842 20,800,421 62,401,264 31,200,632 15,600,316 7,800,158 3,900,079 11,700,238 5,850,119 17,550,358 8,775,179 26,325,538 13,162,769 39,488,308 19,744,154 9,872,077 29,616,232 14,808,116 7,404,058 3,702,029 11,106,088 5,553,044 2,776,522 1,388,261

More profiles

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