36,958,923

3⁴ × 456283

36,958,923 factors as 3^4 × 456283. Its 10 positive divisors give a proper-divisor sum of 18,251,441, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3^4 × 456283

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 55,210,364

Proper Divisor Sum 18,251,441

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36958919 ← → #36958927

Radix Representation

Decimal	36958923
Binary	10001100111111001011001011 (26 bits)
Octal	0o214771313
Hexadecimal	0x233F2CB

Divisor Catalog (10)

1 3 9 27 81 456,283 1,368,849 4,106,547 12,319,641 36,958,923

Collatz Trajectory (165 steps to reach 1)

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

36,958,923 110,876,770 55,438,385 166,315,156 83,157,578 41,578,789 124,736,368 62,368,184 31,184,092 15,592,046 7,796,023 23,388,070 11,694,035 35,082,106 17,541,053 52,623,160 26,311,580 13,155,790 6,577,895 19,733,686 9,866,843 29,600,530 14,800,265 44,400,796 22,200,398 11,100,199 33,300,598 16,650,299 49,950,898 24,975,449 74,926,348 37,463,174 18,731,587 56,194,762 28,097,381 84,292,144 42,146,072 21,073,036 10,536,518 5,268,259 15,804,778 7,902,389 23,707,168 11,853,584 5,926,792 2,963,396 1,481,698 740,849 2,222,548 1,111,274 555,637 1,666,912 833,456 416,728 208,364 104,182 52,091 156,274 78,137 234,412

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