940,167

3⁵ × 53 × 73

940,167 is odd and not a perfect square. Its factorization is 3^5 × 53 × 73 and its 24 divisors sum to 1,454,544.

Prime Factor Structure

Factorization String 3^5 × 53 × 73

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,454,544

Proper Divisor Sum 514,377

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #940157 ← → #940169

Radix Representation

Decimal	940167
Binary	11100101100010000111 (20 bits)
Octal	0o3454207
Hexadecimal	0xE5887

Divisor Catalog (24)

1 3 9 27 53 73 81 159 219 243 477 657 1,431 1,971 3,869 4,293 5,913 11,607 12,879 17,739 34,821 104,463 313,389 940,167

Collatz Trajectory (170 steps to reach 1)

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

940,167 2,820,502 1,410,251 4,230,754 2,115,377 6,346,132 3,173,066 1,586,533 4,759,600 2,379,800 1,189,900 594,950 297,475 892,426 446,213 1,338,640 669,320 334,660 167,330 83,665 250,996 125,498 62,749 188,248 94,124 47,062 23,531 70,594 35,297 105,892 52,946 26,473 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589 1,768 884 442 221 664 332 166

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