λ
Ratio Atlas

37,166,015

5 × 71 × 104693
Deficient Odd Composite

37,166,015 factors as 5 × 71 × 104693. Its 8 positive divisors give a proper-divisor sum of 8,061,793, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 5 × 71 × 104693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 45,227,808
Proper Divisor Sum 8,061,793
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #37166009 ← → #37166021

Radix Representation

Decimal 37166015
Binary 10001101110001101110111111 (26 bits)
Octal 0o215615677
Hexadecimal 0x2371BBF

Divisor Catalog (8)

Collatz Trajectory (183 steps to reach 1)

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

37,166,015 111,498,046 55,749,023 167,247,070 83,623,535 250,870,606 125,435,303 376,305,910 188,152,955 564,458,866 282,229,433 846,688,300 423,344,150 211,672,075 635,016,226 317,508,113 952,524,340 476,262,170 238,131,085 714,393,256 357,196,628 178,598,314 89,299,157 267,897,472 133,948,736 66,974,368 33,487,184 16,743,592 8,371,796 4,185,898 2,092,949 6,278,848 3,139,424 1,569,712 784,856 392,428 196,214 98,107 294,322 147,161 441,484 220,742 110,371 331,114 165,557 496,672 248,336 124,168 62,084 31,042 15,521 46,564 23,282 11,641 34,924 17,462 8,731 26,194 13,097 39,292

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