λ
Prime Ledger

3,535,166

2 × 103 × 1312
Deficient Even Composite

3,535,166 has the prime decomposition 2 × 103 × 131^2. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 103 × 131^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,395,416
Proper Divisor Sum 1,860,250
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3535163 ← → #3535177

Radix Representation

Decimal 3535166
Binary 1101011111000100111110 (22 bits)
Octal 0o15370476
Hexadecimal 0x35F13E

Divisor Catalog (12)

1 2 103 131 206 262 13,493 17,161 26,986 34,322 1,767,583 3,535,166

Collatz Trajectory (252 steps to reach 1)

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

3,535,166 1,767,583 5,302,750 2,651,375 7,954,126 3,977,063 11,931,190 5,965,595 17,896,786 8,948,393 26,845,180 13,422,590 6,711,295 20,133,886 10,066,943 30,200,830 15,100,415 45,301,246 22,650,623 67,951,870 33,975,935 101,927,806 50,963,903 152,891,710 76,445,855 229,337,566 114,668,783 344,006,350 172,003,175 516,009,526 258,004,763 774,014,290 387,007,145 1,161,021,436 580,510,718 290,255,359 870,766,078 435,383,039 1,306,149,118 653,074,559 1,959,223,678 979,611,839 2,938,835,518 1,469,417,759 4,408,253,278 2,204,126,639 6,612,379,918 3,306,189,959 9,918,569,878 4,959,284,939 14,877,854,818 7,438,927,409 22,316,782,228 11,158,391,114 5,579,195,557 16,737,586,672 8,368,793,336 4,184,396,668 2,092,198,334 1,046,099,167

More profiles

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