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Atlas › Integer Profiles › Node 28,443,276

28,443,276

22 × 32 × 173 × 4567
Abundant Even Composite

28,443,276 factors as 2^2 × 3^2 × 173 × 4567. Its 36 positive divisors give a proper-divisor sum of 43,886,436, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 173 × 4567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 72,329,712
Proper Divisor Sum 43,886,436
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #28443257 ← → #28443277

Radix Representation

Decimal 28443276
Binary 1101100100000001010001100 (25 bits)
Octal 0o154401214
Hexadecimal 0x1B2028C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 173 346 519 692 1,038 1,557 2,076 3,114 4,567 6,228 9,134 13,701 18,268 27,402 41,103 54,804 82,206 164,412 790,091 1,580,182 2,370,273 3,160,364 4,740,546 7,110,819 9,481,092 14,221,638 28,443,276

Collatz Trajectory (268 steps to reach 1)

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

28,443,276 14,221,638 7,110,819 21,332,458 10,666,229 31,998,688 15,999,344 7,999,672 3,999,836 1,999,918 999,959 2,999,878 1,499,939 4,499,818 2,249,909 6,749,728 3,374,864 1,687,432 843,716 421,858 210,929 632,788 316,394 158,197 474,592 237,296 118,648 59,324 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418

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