λ
Sigma Notebook

6,836,848

24 × 137 × 3119
Deficient Even Composite

6,836,848 is even and not a perfect square. Its factorization is 2^4 × 137 × 3119 and its 20 divisors sum to 13,347,360.

Prime Factor Structure

Factorization String 2^4 × 137 × 3119
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,347,360
Proper Divisor Sum 6,510,512
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6836783 ← → #6836857

Radix Representation

Decimal 6836848
Binary 11010000101001001110000 (23 bits)
Octal 0o32051160
Hexadecimal 0x685270

Divisor Catalog (20)

1 2 4 8 16 137 274 548 1,096 2,192 3,119 6,238 12,476 24,952 49,904 427,303 854,606 1,709,212 3,418,424 6,836,848

Collatz Trajectory (134 steps to reach 1)

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

6,836,848 3,418,424 1,709,212 854,606 427,303 1,281,910 640,955 1,922,866 961,433 2,884,300 1,442,150 721,075 2,163,226 1,081,613 3,244,840 1,622,420 811,210 405,605 1,216,816 608,408 304,204 152,102 76,051 228,154 114,077 342,232 171,116 85,558 42,779 128,338 64,169 192,508 96,254 48,127 144,382 72,191 216,574 108,287 324,862 162,431 487,294 243,647 730,942 365,471 1,096,414 548,207 1,644,622 822,311 2,466,934 1,233,467 3,700,402 1,850,201 5,550,604 2,775,302 1,387,651 4,162,954 2,081,477 6,244,432 3,122,216 1,561,108

More profiles

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