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Atlas › Integer Profiles › Node 61,344,171

61,344,171

32 × 7 × 509 × 1913
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 509 × 1913
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 101,518,560
Proper Divisor Sum 40,174,389
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #61344167 ← → #61344191

Radix Representation

Decimal 61344171
Binary 11101010000000100110101011 (26 bits)
Octal 0o352004653
Hexadecimal 0x3A809AB

Divisor Catalog (24)

1 3 7 9 21 63 509 1,527 1,913 3,563 4,581 5,739 10,689 13,391 17,217 32,067 40,173 120,519 973,717 2,921,151 6,816,019 8,763,453 20,448,057 61,344,171

Collatz Trajectory (326 steps to reach 1)

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

61,344,171 184,032,514 92,016,257 276,048,772 138,024,386 69,012,193 207,036,580 103,518,290 51,759,145 155,277,436 77,638,718 38,819,359 116,458,078 58,229,039 174,687,118 87,343,559 262,030,678 131,015,339 393,046,018 196,523,009 589,569,028 294,784,514 147,392,257 442,176,772 221,088,386 110,544,193 331,632,580 165,816,290 82,908,145 248,724,436 124,362,218 62,181,109 186,543,328 93,271,664 46,635,832 23,317,916 11,658,958 5,829,479 17,488,438 8,744,219 26,232,658 13,116,329 39,348,988 19,674,494 9,837,247 29,511,742 14,755,871 44,267,614 22,133,807 66,401,422 33,200,711 99,602,134 49,801,067 149,403,202 74,701,601 224,104,804 112,052,402 56,026,201 168,078,604 84,039,302

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