3,364,224

2⁷ × 3 × 8761

3,364,224 has digital root 6. The neighboring primes are 3364223 and 3364237; its proper-divisor sum differs from the starting integer by 2,208,792.

Prime Factor Structure

Factorization String 2^7 × 3 × 8761

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,937,240

Proper Divisor Sum 5,573,016

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3364223 ← → #3364237

Radix Representation

Decimal	3364224
Binary	1100110101010110000000 (22 bits)
Octal	0o14652600
Hexadecimal	0x335580

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 8,761 17,522 26,283 35,044 52,566 70,088 105,132 140,176 210,264 280,352 420,528 560,704 841,056 1,121,408 1,682,112 3,364,224

Collatz Trajectory (221 steps to reach 1)

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

3,364,224 1,682,112 841,056 420,528 210,264 105,132 52,566 26,283 78,850 39,425 118,276 59,138 29,569 88,708 44,354 22,177 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563

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