2,766,339

3³ × 29 × 3533

2,766,339 factors as 3^3 × 29 × 3533. Its 16 positive divisors give a proper-divisor sum of 1,474,461, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 3^3 × 29 × 3533

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,240,800

Proper Divisor Sum 1,474,461

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2766331 ← → #2766341

Radix Representation

Decimal	2766339
Binary	1010100011011000000011 (22 bits)
Octal	0o12433003
Hexadecimal	0x2A3603

Divisor Catalog (16)

1 3 9 27 29 87 261 783 3,533 10,599 31,797 95,391 102,457 307,371 922,113 2,766,339

Collatz Trajectory (76 steps to reach 1)

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

2,766,339 8,299,018 4,149,509 12,448,528 6,224,264 3,112,132 1,556,066 778,033 2,334,100 1,167,050 583,525 1,750,576 875,288 437,644 218,822 109,411 328,234 164,117 492,352 246,176 123,088 61,544 30,772 15,386 7,693 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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