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Atlas › Integer Profiles › Node 25,752,055

25,752,055

5 × 7 × 43 × 71 × 241
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 43 × 71 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,799,488
Proper Divisor Sum 11,047,433
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #25752047 ← → #25752079

Radix Representation

Decimal 25752055
Binary 1100010001111000111110111 (25 bits)
Octal 0o142170767
Hexadecimal 0x188F1F7

Divisor Catalog (32)

1 5 7 35 43 71 215 241 301 355 497 1,205 1,505 1,687 2,485 3,053 8,435 10,363 15,265 17,111 21,371 51,815 72,541 85,555 106,855 119,777 362,705 598,885 735,773 3,678,865 5,150,411 25,752,055

Collatz Trajectory (273 steps to reach 1)

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

25,752,055 77,256,166 38,628,083 115,884,250 57,942,125 173,826,376 86,913,188 43,456,594 21,728,297 65,184,892 32,592,446 16,296,223 48,888,670 24,444,335 73,333,006 36,666,503 109,999,510 54,999,755 164,999,266 82,499,633 247,498,900 123,749,450 61,874,725 185,624,176 92,812,088 46,406,044 23,203,022 11,601,511 34,804,534 17,402,267 52,206,802 26,103,401 78,310,204 39,155,102 19,577,551 58,732,654 29,366,327 88,098,982 44,049,491 132,148,474 66,074,237 198,222,712 99,111,356 49,555,678 24,777,839 74,333,518 37,166,759 111,500,278 55,750,139 167,250,418 83,625,209 250,875,628 125,437,814 62,718,907 188,156,722 94,078,361 282,235,084 141,117,542 70,558,771 211,676,314

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