λ
Harmonic Matrix

6,836,152

23 × 23 × 53 × 701
Deficient Even Composite

6,836,152 has digital root 4. The neighboring primes are 6836149 and 6836171; its proper-divisor sum differs from the starting integer by -25,424.

Prime Factor Structure

Factorization String 2^3 × 23 × 53 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,646,880
Proper Divisor Sum 6,810,728
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6836149 ← → #6836171

Radix Representation

Decimal 6836152
Binary 11010000100111110111000 (23 bits)
Octal 0o32047670
Hexadecimal 0x684FB8

Divisor Catalog (32)

1 2 4 8 23 46 53 92 106 184 212 424 701 1,219 1,402 2,438 2,804 4,876 5,608 9,752 16,123 32,246 37,153 64,492 74,306 128,984 148,612 297,224 854,519 1,709,038 3,418,076 6,836,152

Collatz Trajectory (160 steps to reach 1)

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

6,836,152 3,418,076 1,709,038 854,519 2,563,558 1,281,779 3,845,338 1,922,669 5,768,008 2,884,004 1,442,002 721,001 2,163,004 1,081,502 540,751 1,622,254 811,127 2,433,382 1,216,691 3,650,074 1,825,037 5,475,112 2,737,556 1,368,778 684,389 2,053,168 1,026,584 513,292 256,646 128,323 384,970 192,485 577,456 288,728 144,364 72,182 36,091 108,274 54,137 162,412 81,206 40,603 121,810 60,905 182,716 91,358 45,679 137,038 68,519 205,558 102,779 308,338 154,169 462,508 231,254 115,627 346,882 173,441 520,324 260,162

More profiles

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