λ
Integer Codex

1,671,318

2 × 32 × 11 × 23 × 367
Abundant Even Composite

For 1,671,318, the 48 positive divisors have a total of 4,133,376. Removing 1,671,318 leaves 2,462,058, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 23 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,133,376
Proper Divisor Sum 2,462,058
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1671311 ← → #1671337

Radix Representation

Decimal 1671318
Binary 110011000000010010110 (21 bits)
Octal 0o6300226
Hexadecimal 0x198096

Divisor Catalog (48)

1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 367 414 506 734 759 1,101 1,518 2,202 2,277 3,303 4,037 4,554 6,606 8,074 8,441 12,111 16,882 24,222 25,323 36,333 50,646 72,666 75,969 92,851 151,938 185,702 278,553 557,106 835,659 1,671,318

Collatz Trajectory (176 steps to reach 1)

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

1,671,318 835,659 2,506,978 1,253,489 3,760,468 1,880,234 940,117 2,820,352 1,410,176 705,088 352,544 176,272 88,136 44,068 22,034 11,017 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768

More profiles

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