λ
Prime Ledger

3,141,828

22 × 34 × 9697
Abundant Even Composite

3,141,828 has the prime decomposition 2^2 × 3^4 × 9697. Its 3 distinct prime factors produce 30 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 9697
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 8,214,206
Proper Divisor Sum 5,072,378
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3141811 ← → #3141829

Radix Representation

Decimal 3141828
Binary 1011111111000011000100 (22 bits)
Octal 0o13770304
Hexadecimal 0x2FF0C4

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 9,697 19,394 29,091 38,788 58,182 87,273 116,364 174,546 261,819 349,092 523,638 785,457 1,047,276 1,570,914 3,141,828

Collatz Trajectory (164 steps to reach 1)

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

3,141,828 1,570,914 785,457 2,356,372 1,178,186 589,093 1,767,280 883,640 441,820 220,910 110,455 331,366 165,683 497,050 248,525 745,576 372,788 186,394 93,197 279,592 139,796 69,898 34,949 104,848 52,424 26,212 13,106 6,553 19,660 9,830 4,915 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94

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