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Atlas › Integer Profiles › Node 57,770,872

57,770,872

23 × 97 × 109 × 683
Deficient Even Composite

57,770,872 factors as 2^3 × 97 × 109 × 683. Its 32 positive divisors give a proper-divisor sum of 52,831,928, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 97 × 109 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 110,602,800
Proper Divisor Sum 52,831,928
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57770863 ← → #57770891

Radix Representation

Decimal 57770872
Binary 11011100011000001101111000 (26 bits)
Octal 0o334301570
Hexadecimal 0x3718378

Divisor Catalog (32)

1 2 4 8 97 109 194 218 388 436 683 776 872 1,366 2,732 5,464 10,573 21,146 42,292 66,251 74,447 84,584 132,502 148,894 265,004 297,788 530,008 595,576 7,221,359 14,442,718 28,885,436 57,770,872

Collatz Trajectory (145 steps to reach 1)

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

57,770,872 28,885,436 14,442,718 7,221,359 21,664,078 10,832,039 32,496,118 16,248,059 48,744,178 24,372,089 73,116,268 36,558,134 18,279,067 54,837,202 27,418,601 82,255,804 41,127,902 20,563,951 61,691,854 30,845,927 92,537,782 46,268,891 138,806,674 69,403,337 208,210,012 104,105,006 52,052,503 156,157,510 78,078,755 234,236,266 117,118,133 351,354,400 175,677,200 87,838,600 43,919,300 21,959,650 10,979,825 32,939,476 16,469,738 8,234,869 24,704,608 12,352,304 6,176,152 3,088,076 1,544,038 772,019 2,316,058 1,158,029 3,474,088 1,737,044 868,522 434,261 1,302,784 651,392 325,696 162,848 81,424 40,712 20,356 10,178

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