12,462,000

2⁴ × 3 × 5³ × 31 × 67

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 31 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 42,092,544

Proper Divisor Sum 29,630,544

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #12461993 ← → #12462001

Radix Representation

Decimal	12462000
Binary	101111100010011110110000 (24 bits)
Octal	0o57423660
Hexadecimal	0xBE27B0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 67 75 80 93 100 120 124 125 134 150 155 186 200 201 240 248 250 268 300 310 335 372 375 400 402 465 496 500 536 600 620 670 744 750 775 804 930 1,000 1,005

Collatz Trajectory (228 steps to reach 1)

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

12,462,000 6,231,000 3,115,500 1,557,750 778,875 2,336,626 1,168,313 3,504,940 1,752,470 876,235 2,628,706 1,314,353 3,943,060 1,971,530 985,765 2,957,296 1,478,648 739,324 369,662 184,831 554,494 277,247 831,742 415,871 1,247,614 623,807 1,871,422 935,711 2,807,134 1,403,567 4,210,702 2,105,351 6,316,054 3,158,027 9,474,082 4,737,041 14,211,124 7,105,562 3,552,781 10,658,344 5,329,172 2,664,586 1,332,293 3,996,880 1,998,440 999,220 499,610 249,805 749,416 374,708 187,354 93,677 281,032 140,516 70,258 35,129 105,388 52,694 26,347 79,042

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