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Atlas › Integer Profiles › Node 57,733,431

57,733,431

3 × 7 × 37 × 67 × 1109
Deficient Odd Composite

57,733,431 factors as 3 × 7 × 37 × 67 × 1109. Its 32 positive divisors give a proper-divisor sum of 34,050,249, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 67 × 1109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 91,783,680
Proper Divisor Sum 34,050,249
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #57733409 ← → #57733433

Radix Representation

Decimal 57733431
Binary 11011100001111000100110111 (26 bits)
Octal 0o334170467
Hexadecimal 0x370F137

Divisor Catalog (32)

1 3 7 21 37 67 111 201 259 469 777 1,109 1,407 2,479 3,327 7,437 7,763 17,353 23,289 41,033 52,059 74,303 123,099 222,909 287,231 520,121 861,693 1,560,363 2,749,211 8,247,633 19,244,477 57,733,431

Collatz Trajectory (238 steps to reach 1)

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

57,733,431 173,200,294 86,600,147 259,800,442 129,900,221 389,700,664 194,850,332 97,425,166 48,712,583 146,137,750 73,068,875 219,206,626 109,603,313 328,809,940 164,404,970 82,202,485 246,607,456 123,303,728 61,651,864 30,825,932 15,412,966 7,706,483 23,119,450 11,559,725 34,679,176 17,339,588 8,669,794 4,334,897 13,004,692 6,502,346 3,251,173 9,753,520 4,876,760 2,438,380 1,219,190 609,595 1,828,786 914,393 2,743,180 1,371,590 685,795 2,057,386 1,028,693 3,086,080 1,543,040 771,520 385,760 192,880 96,440 48,220 24,110 12,055 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172

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