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Atlas › Integer Profiles › Node 2,280,972

2,280,972

22 × 3 × 131 × 1451
Abundant Even Composite

2,280,972 factors as 2^2 × 3 × 131 × 1451. Its 24 positive divisors give a proper-divisor sum of 3,085,620, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 131 × 1451
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,366,592
Proper Divisor Sum 3,085,620
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2280959 ← → #2280977

Radix Representation

Decimal 2280972
Binary 1000101100111000001100 (22 bits)
Octal 0o10547014
Hexadecimal 0x22CE0C

Divisor Catalog (24)

1 2 3 4 6 12 131 262 393 524 786 1,451 1,572 2,902 4,353 5,804 8,706 17,412 190,081 380,162 570,243 760,324 1,140,486 2,280,972

Collatz Trajectory (223 steps to reach 1)

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

2,280,972 1,140,486 570,243 1,710,730 855,365 2,566,096 1,283,048 641,524 320,762 160,381 481,144 240,572 120,286 60,143 180,430 90,215 270,646 135,323 405,970 202,985 608,956 304,478 152,239 456,718 228,359 685,078 342,539 1,027,618 513,809 1,541,428 770,714 385,357 1,156,072 578,036 289,018 144,509 433,528 216,764 108,382 54,191 162,574 81,287 243,862 121,931 365,794 182,897 548,692 274,346 137,173 411,520 205,760 102,880 51,440 25,720 12,860 6,430 3,215 9,646 4,823 14,470

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