2,472,012

2² × 3³ × 47 × 487

2,472,012 has digital root 9. The neighboring primes are 2471993 and 2472023; its proper-divisor sum differs from the starting integer by 1,614,696.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 47 × 487

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,558,720

Proper Divisor Sum 4,086,708

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2471993 ← → #2472023

Radix Representation

Decimal	2472012
Binary	1001011011100001001100 (22 bits)
Octal	0o11334114
Hexadecimal	0x25B84C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 487 564 846 974 1,269 1,461 1,692 1,948 2,538 2,922 4,383 5,076 5,844 8,766 13,149 17,532 22,889 26,298 45,778 52,596 68,667 91,556 137,334 206,001 274,668 412,002 618,003 824,004 1,236,006 2,472,012

Collatz Trajectory (218 steps to reach 1)

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

2,472,012 1,236,006 618,003 1,854,010 927,005 2,781,016 1,390,508 695,254 347,627 1,042,882 521,441 1,564,324 782,162 391,081 1,173,244 586,622 293,311 879,934 439,967 1,319,902 659,951 1,979,854 989,927 2,969,782 1,484,891 4,454,674 2,227,337 6,682,012 3,341,006 1,670,503 5,011,510 2,505,755 7,517,266 3,758,633 11,275,900 5,637,950 2,818,975 8,456,926 4,228,463 12,685,390 6,342,695 19,028,086 9,514,043 28,542,130 14,271,065 42,813,196 21,406,598 10,703,299 32,109,898 16,054,949 48,164,848 24,082,424 12,041,212 6,020,606 3,010,303 9,030,910 4,515,455 13,546,366 6,773,183 20,319,550

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