2,415,000

2³ × 3 × 5⁴ × 7 × 23

For 2,415,000, the 160 positive divisors have a total of 8,997,120. Removing 2,415,000 leaves 6,582,120, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^4 × 7 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 8,997,120

Proper Divisor Sum 6,582,120

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2414999 ← → #2415013

Radix Representation

Decimal	2415000
Binary	1001001101100110011000 (22 bits)
Octal	0o11154630
Hexadecimal	0x24D998

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 25 28 30 35 40 42 46 50 56 60 69 70 75 84 92 100 105 115 120 125 138 140 150 161 168 175 184 200 210 230 250 276 280 300 322 345 350 375 420 460 483 500 525 552

Collatz Trajectory (236 steps to reach 1)

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

2,415,000 1,207,500 603,750 301,875 905,626 452,813 1,358,440 679,220 339,610 169,805 509,416 254,708 127,354 63,677 191,032 95,516 47,758 23,879 71,638 35,819 107,458 53,729 161,188 80,594 40,297 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010 102,005 306,016 153,008 76,504 38,252 19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322

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