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Atlas › Integer Profiles › Node 2,575,272

2,575,272

23 × 3 × 7 × 15329
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 15329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,358,400
Proper Divisor Sum 4,783,128
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2575247 ← → #2575277

Radix Representation

Decimal 2575272
Binary 1001110100101110101000 (22 bits)
Octal 0o11645650
Hexadecimal 0x274BA8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 15,329 30,658 45,987 61,316 91,974 107,303 122,632 183,948 214,606 321,909 367,896 429,212 643,818 858,424 1,287,636 2,575,272

Collatz Trajectory (143 steps to reach 1)

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

2,575,272 1,287,636 643,818 321,909 965,728 482,864 241,432 120,716 60,358 30,179 90,538 45,269 135,808 67,904 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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