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Atlas › Integer Profiles › Node 57,980,974

57,980,974

2 × 312 × 97 × 311
Deficient Even Composite

57,980,974 factors as 2 × 31^2 × 97 × 311. Its 24 positive divisors give a proper-divisor sum of 33,104,930, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 31^2 × 97 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 91,085,904
Proper Divisor Sum 33,104,930
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #57980971 ← → #57980977

Radix Representation

Decimal 57980974
Binary 11011101001011100000101110 (26 bits)
Octal 0o335134056
Hexadecimal 0x374B82E

Divisor Catalog (24)

1 2 31 62 97 194 311 622 961 1,922 3,007 6,014 9,641 19,282 30,167 60,334 93,217 186,434 298,871 597,742 935,177 1,870,354 28,990,487 57,980,974

Collatz Trajectory (119 steps to reach 1)

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

57,980,974 28,990,487 86,971,462 43,485,731 130,457,194 65,228,597 195,685,792 97,842,896 48,921,448 24,460,724 12,230,362 6,115,181 18,345,544 9,172,772 4,586,386 2,293,193 6,879,580 3,439,790 1,719,895 5,159,686 2,579,843 7,739,530 3,869,765 11,609,296 5,804,648 2,902,324 1,451,162 725,581 2,176,744 1,088,372 544,186 272,093 816,280 408,140 204,070 102,035 306,106 153,053 459,160 229,580 114,790 57,395 172,186 86,093 258,280 129,140 64,570 32,285 96,856 48,428 24,214 12,107 36,322 18,161 54,484 27,242 13,621 40,864 20,432 10,216

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