λ
Prime Ledger

8,371,948

22 × 13 × 131 × 1229
Deficient Even Composite

8,371,948 has the prime decomposition 2^2 × 13 × 131 × 1229. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 131 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,911,280
Proper Divisor Sum 7,539,332
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8371927 ← → #8371999

Radix Representation

Decimal 8371948
Binary 11111111011111011101100 (23 bits)
Octal 0o37737354
Hexadecimal 0x7FBEEC

Divisor Catalog (24)

1 2 4 13 26 52 131 262 524 1,229 1,703 2,458 3,406 4,916 6,812 15,977 31,954 63,908 160,999 321,998 643,996 2,092,987 4,185,974 8,371,948

Collatz Trajectory (137 steps to reach 1)

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

8,371,948 4,185,974 2,092,987 6,278,962 3,139,481 9,418,444 4,709,222 2,354,611 7,063,834 3,531,917 10,595,752 5,297,876 2,648,938 1,324,469 3,973,408 1,986,704 993,352 496,676 248,338 124,169 372,508 186,254 93,127 279,382 139,691 419,074 209,537 628,612 314,306 157,153 471,460 235,730 117,865 353,596 176,798 88,399 265,198 132,599 397,798 198,899 596,698 298,349 895,048 447,524 223,762 111,881 335,644 167,822 83,911 251,734 125,867 377,602 188,801 566,404 283,202 141,601 424,804 212,402 106,201 318,604

More profiles

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