λ
Integer Codex

2,180,488

23 × 17 × 16033
Deficient Even Composite

For 2,180,488, the 16 positive divisors have a total of 4,329,180. Removing 2,180,488 leaves 2,148,692, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 17 × 16033
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,329,180
Proper Divisor Sum 2,148,692
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2180467 ← → #2180491

Radix Representation

Decimal 2180488
Binary 1000010100010110001000 (22 bits)
Octal 0o10242610
Hexadecimal 0x214588

Divisor Catalog (16)

1 2 4 8 17 34 68 136 16,033 32,066 64,132 128,264 272,561 545,122 1,090,244 2,180,488

Collatz Trajectory (86 steps to reach 1)

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

2,180,488 1,090,244 545,122 272,561 817,684 408,842 204,421 613,264 306,632 153,316 76,658 38,329 114,988 57,494 28,747 86,242 43,121 129,364 64,682 32,341 97,024 48,512 24,256 12,128 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65

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