2,427,120

2⁴ × 3² × 5 × 3371

For 2,427,120, the 60 positive divisors have a total of 8,153,496. Removing 2,427,120 leaves 5,726,376, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 3371

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 8,153,496

Proper Divisor Sum 5,726,376

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2427109 ← → #2427137

Radix Representation

Decimal	2427120
Binary	1001010000100011110000 (22 bits)
Octal	0o11204360
Hexadecimal	0x2508F0

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3,371 6,742 10,113 13,484 16,855 20,226 26,968 30,339 33,710 40,452 50,565 53,936 60,678 67,420 80,904 101,130 121,356 134,840 151,695 161,808 202,260 242,712 269,680 303,390 404,520 485,424 606,780 809,040 1,213,560 2,427,120

Collatz Trajectory (205 steps to reach 1)

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

2,427,120 1,213,560 606,780 303,390 151,695 455,086 227,543 682,630 341,315 1,023,946 511,973 1,535,920 767,960 383,980 191,990 95,995 287,986 143,993 431,980 215,990 107,995 323,986 161,993 485,980 242,990 121,495 364,486 182,243 546,730 273,365 820,096 410,048 205,024 102,512 51,256 25,628 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567

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