λ
Ratio Atlas

37,591,071

3 × 7 × 1790051
Deficient Odd Composite

37,591,071 factors as 3 × 7 × 1790051. Its 8 positive divisors give a proper-divisor sum of 19,690,593, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 3 × 7 × 1790051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 57,281,664
Proper Divisor Sum 19,690,593
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #37591069 ← → #37591093

Radix Representation

Decimal 37591071
Binary 10001111011001100000011111 (26 bits)
Octal 0o217314037
Hexadecimal 0x23D981F

Divisor Catalog (8)

Collatz Trajectory (183 steps to reach 1)

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

37,591,071 112,773,214 56,386,607 169,159,822 84,579,911 253,739,734 126,869,867 380,609,602 190,304,801 570,914,404 285,457,202 142,728,601 428,185,804 214,092,902 107,046,451 321,139,354 160,569,677 481,709,032 240,854,516 120,427,258 60,213,629 180,640,888 90,320,444 45,160,222 22,580,111 67,740,334 33,870,167 101,610,502 50,805,251 152,415,754 76,207,877 228,623,632 114,311,816 57,155,908 28,577,954 14,288,977 42,866,932 21,433,466 10,716,733 32,150,200 16,075,100 8,037,550 4,018,775 12,056,326 6,028,163 18,084,490 9,042,245 27,126,736 13,563,368 6,781,684 3,390,842 1,695,421 5,086,264 2,543,132 1,271,566 635,783 1,907,350 953,675 2,861,026 1,430,513

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