λ
Integer Codex

8,133,249

3 × 173 × 15671
Deficient Odd Composite

For 8,133,249, the 8 positive divisors have a total of 10,907,712. Removing 8,133,249 leaves 2,774,463, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 173 × 15671
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,907,712
Proper Divisor Sum 2,774,463
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8133247 ← → #8133277

Radix Representation

Decimal 8133249
Binary 11111000001101010000001 (23 bits)
Octal 0o37015201
Hexadecimal 0x7C1A81

Divisor Catalog (8)

1 3 173 519 15,671 47,013 2,711,083 8,133,249

Collatz Trajectory (243 steps to reach 1)

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

8,133,249 24,399,748 12,199,874 6,099,937 18,299,812 9,149,906 4,574,953 13,724,860 6,862,430 3,431,215 10,293,646 5,146,823 15,440,470 7,720,235 23,160,706 11,580,353 34,741,060 17,370,530 8,685,265 26,055,796 13,027,898 6,513,949 19,541,848 9,770,924 4,885,462 2,442,731 7,328,194 3,664,097 10,992,292 5,496,146 2,748,073 8,244,220 4,122,110 2,061,055 6,183,166 3,091,583 9,274,750 4,637,375 13,912,126 6,956,063 20,868,190 10,434,095 31,302,286 15,651,143 46,953,430 23,476,715 70,430,146 35,215,073 105,645,220 52,822,610 26,411,305 79,233,916 39,616,958 19,808,479 59,425,438 29,712,719 89,138,158 44,569,079 133,707,238 66,853,619

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