λ
Integer Codex

1,521,468

22 × 32 × 13 × 3251
Abundant Even Composite

For 1,521,468, the 36 positive divisors have a total of 4,143,048. Removing 1,521,468 leaves 2,621,580, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 3251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,143,048
Proper Divisor Sum 2,621,580
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1521397 ← → #1521479

Radix Representation

Decimal 1521468
Binary 101110011011100111100 (21 bits)
Octal 0o5633474
Hexadecimal 0x17373C

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 3,251 6,502 9,753 13,004 19,506 29,259 39,012 42,263 58,518 84,526 117,036 126,789 169,052 253,578 380,367 507,156 760,734 1,521,468

Collatz Trajectory (168 steps to reach 1)

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

1,521,468 760,734 380,367 1,141,102 570,551 1,711,654 855,827 2,567,482 1,283,741 3,851,224 1,925,612 962,806 481,403 1,444,210 722,105 2,166,316 1,083,158 541,579 1,624,738 812,369 2,437,108 1,218,554 609,277 1,827,832 913,916 456,958 228,479 685,438 342,719 1,028,158 514,079 1,542,238 771,119 2,313,358 1,156,679 3,470,038 1,735,019 5,205,058 2,602,529 7,807,588 3,903,794 1,951,897 5,855,692 2,927,846 1,463,923 4,391,770 2,195,885 6,587,656 3,293,828 1,646,914 823,457 2,470,372 1,235,186 617,593 1,852,780 926,390 463,195 1,389,586 694,793 2,084,380

More profiles

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