λ
Math Directory

8,158,431

3 × 2719477
Deficient Odd Composite

8,158,431 factors as 3 × 2719477. Its 4 positive divisors give a proper-divisor sum of 2,719,481, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 2719477
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,877,912
Proper Divisor Sum 2,719,481
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8158421 ← → #8158439

Radix Representation

Decimal 8158431
Binary 11111000111110011011111 (23 bits)
Octal 0o37076337
Hexadecimal 0x7C7CDF

Divisor Catalog (4)

1 3 2,719,477 8,158,431

Collatz Trajectory (137 steps to reach 1)

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

8,158,431 24,475,294 12,237,647 36,712,942 18,356,471 55,069,414 27,534,707 82,604,122 41,302,061 123,906,184 61,953,092 30,976,546 15,488,273 46,464,820 23,232,410 11,616,205 34,848,616 17,424,308 8,712,154 4,356,077 13,068,232 6,534,116 3,267,058 1,633,529 4,900,588 2,450,294 1,225,147 3,675,442 1,837,721 5,513,164 2,756,582 1,378,291 4,134,874 2,067,437 6,202,312 3,101,156 1,550,578 775,289 2,325,868 1,162,934 581,467 1,744,402 872,201 2,616,604 1,308,302 654,151 1,962,454 981,227 2,943,682 1,471,841 4,415,524 2,207,762 1,103,881 3,311,644 1,655,822 827,911 2,483,734 1,241,867 3,725,602 1,862,801

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