1,333,746

2 × 3⁴ × 8233

1,333,746 factors as 2 × 3^4 × 8233. Its 20 positive divisors give a proper-divisor sum of 1,655,196, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 8233

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,988,942

Proper Divisor Sum 1,655,196

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1333741 ← → #1333751

Radix Representation

Decimal	1333746
Binary	101000101100111110010 (21 bits)
Octal	0o5054762
Hexadecimal	0x1459F2

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 8,233 16,466 24,699 49,398 74,097 148,194 222,291 444,582 666,873 1,333,746

Collatz Trajectory (93 steps to reach 1)

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

1,333,746 666,873 2,000,620 1,000,310 500,155 1,500,466 750,233 2,250,700 1,125,350 562,675 1,688,026 844,013 2,532,040 1,266,020 633,010 316,505 949,516 474,758 237,379 712,138 356,069 1,068,208 534,104 267,052 133,526 66,763 200,290 100,145 300,436 150,218 75,109 225,328 112,664 56,332 28,166 14,083 42,250 21,125 63,376 31,688 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464

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