1,212,480

2⁶ × 3² × 5 × 421

For 1,212,480, the 84 positive divisors have a total of 4,180,332. Removing 1,212,480 leaves 2,967,852, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 4,180,332

Proper Divisor Sum 2,967,852

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1212479 ← → #1212487

Radix Representation

Decimal	1212480
Binary	100101000000001000000 (21 bits)
Octal	0o4500100
Hexadecimal	0x128040

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 421 480 576 720 842 960 1,263 1,440 1,684 2,105 2,526 2,880 3,368 3,789 4,210 5,052 6,315 6,736 7,578 8,420 10,104 12,630 13,472 15,156

Collatz Trajectory (98 steps to reach 1)

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

1,212,480 606,240 303,120 151,560 75,780 37,890 18,945 56,836 28,418 14,209 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294

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