λ
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Atlas › Integer Profiles › Node 36,970,689

36,970,689

3 × 7 × 89 × 131 × 151
Deficient Odd Composite

36,970,689 factors as 3 × 7 × 89 × 131 × 151. Its 32 positive divisors give a proper-divisor sum of 20,813,631, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 7 × 89 × 131 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,784,320
Proper Divisor Sum 20,813,631
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36970673 ← → #36970691

Radix Representation

Decimal 36970689
Binary 10001101000010000011000001 (26 bits)
Octal 0o215020301
Hexadecimal 0x23420C1

Divisor Catalog (32)

1 3 7 21 89 131 151 267 393 453 623 917 1,057 1,869 2,751 3,171 11,659 13,439 19,781 34,977 40,317 59,343 81,613 94,073 138,467 244,839 282,219 415,401 1,760,509 5,281,527 12,323,563 36,970,689

Collatz Trajectory (165 steps to reach 1)

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

36,970,689 110,912,068 55,456,034 27,728,017 83,184,052 41,592,026 20,796,013 62,388,040 31,194,020 15,597,010 7,798,505 23,395,516 11,697,758 5,848,879 17,546,638 8,773,319 26,319,958 13,159,979 39,479,938 19,739,969 59,219,908 29,609,954 14,804,977 44,414,932 22,207,466 11,103,733 33,311,200 16,655,600 8,327,800 4,163,900 2,081,950 1,040,975 3,122,926 1,561,463 4,684,390 2,342,195 7,026,586 3,513,293 10,539,880 5,269,940 2,634,970 1,317,485 3,952,456 1,976,228 988,114 494,057 1,482,172 741,086 370,543 1,111,630 555,815 1,667,446 833,723 2,501,170 1,250,585 3,751,756 1,875,878 937,939 2,813,818 1,406,909

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