λ
Integer Codex

7,018,512

24 × 3 × 73 × 2003
Abundant Even Composite

For 7,018,512, the 40 positive divisors have a total of 18,388,704. Removing 7,018,512 leaves 11,370,192, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 73 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,388,704
Proper Divisor Sum 11,370,192
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7018511 ← → #7018513

Radix Representation

Decimal 7018512
Binary 11010110001100000010000 (23 bits)
Octal 0o32614020
Hexadecimal 0x6B1810

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1,168 1,752 2,003 3,504 4,006 6,009 8,012 12,018 16,024 24,036 32,048 48,072 96,144 146,219 292,438 438,657 584,876 877,314 1,169,752 1,754,628 2,339,504 3,509,256 7,018,512

Collatz Trajectory (67 steps to reach 1)

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

7,018,512 3,509,256 1,754,628 877,314 438,657 1,315,972 657,986 328,993 986,980 493,490 246,745 740,236 370,118 185,059 555,178 277,589 832,768 416,384 208,192 104,096 52,048 26,024 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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