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Atlas › Integer Profiles › Node 25,752,272

25,752,272

24 × 7 × 13 × 23 × 769
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 23 × 769
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 64,162,560
Proper Divisor Sum 38,410,288
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #25752269 ← → #25752281

Radix Representation

Decimal 25752272
Binary 1100010001111001011010000 (25 bits)
Octal 0o142171320
Hexadecimal 0x188F2D0

Divisor Catalog (60 of 80)

1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 769 1,196 1,288 1,456 1,538 2,093 2,392 2,576 3,076 4,186 4,784 5,383 6,152 8,372 9,997 10,766 12,304 16,744 17,687 19,994 21,532 33,488 35,374 39,988 43,064 69,979 70,748 79,976 86,128 123,809 139,958

Collatz Trajectory (48 steps to reach 1)

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

25,752,272 12,876,136 6,438,068 3,219,034 1,609,517 4,828,552 2,414,276 1,207,138 603,569 1,810,708 905,354 452,677 1,358,032 679,016 339,508 169,754 84,877 254,632 127,316 63,658 31,829 95,488 47,744 23,872 11,936 5,968 2,984 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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