λ
Prime Ledger

3,181,816

23 × 112 × 19 × 173
Abundant Even Composite

3,181,816 has the prime decomposition 2^3 × 11^2 × 19 × 173. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 19 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,942,600
Proper Divisor Sum 3,760,784
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3181813 ← → #3181823

Radix Representation

Decimal 3181816
Binary 1100001000110011111000 (22 bits)
Octal 0o14106370
Hexadecimal 0x308CF8

Divisor Catalog (48)

1 2 4 8 11 19 22 38 44 76 88 121 152 173 209 242 346 418 484 692 836 968 1,384 1,672 1,903 2,299 3,287 3,806 4,598 6,574 7,612 9,196 13,148 15,224 18,392 20,933 26,296 36,157 41,866 72,314 83,732 144,628 167,464 289,256 397,727 795,454 1,590,908 3,181,816

Collatz Trajectory (164 steps to reach 1)

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

3,181,816 1,590,908 795,454 397,727 1,193,182 596,591 1,789,774 894,887 2,684,662 1,342,331 4,026,994 2,013,497 6,040,492 3,020,246 1,510,123 4,530,370 2,265,185 6,795,556 3,397,778 1,698,889 5,096,668 2,548,334 1,274,167 3,822,502 1,911,251 5,733,754 2,866,877 8,600,632 4,300,316 2,150,158 1,075,079 3,225,238 1,612,619 4,837,858 2,418,929 7,256,788 3,628,394 1,814,197 5,442,592 2,721,296 1,360,648 680,324 340,162 170,081 510,244 255,122 127,561 382,684 191,342 95,671 287,014 143,507 430,522 215,261 645,784 322,892 161,446 80,723 242,170 121,085

More profiles

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