λ
Integer Codex

1,212,980

22 × 5 × 60649
Abundant Even Composite

For 1,212,980, the 12 positive divisors have a total of 2,547,300. Removing 1,212,980 leaves 1,334,320, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 60649
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,547,300
Proper Divisor Sum 1,334,320
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1212973 ← → #1212989

Radix Representation

Decimal 1212980
Binary 100101000001000110100 (21 bits)
Octal 0o4501064
Hexadecimal 0x128234

Divisor Catalog (12)

1 2 4 5 10 20 60,649 121,298 242,596 303,245 606,490 1,212,980

Collatz Trajectory (67 steps to reach 1)

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

1,212,980 606,490 303,245 909,736 454,868 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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