2,640,764

2² × 7 × 37 × 2549

2,640,764 has digital root 2. The neighboring primes are 2640761 and 2640767; its proper-divisor sum differs from the starting integer by 144,872.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 2549

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,426,400

Proper Divisor Sum 2,785,636

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2640761 ← → #2640767

Radix Representation

Decimal	2640764
Binary	1010000100101101111100 (22 bits)
Octal	0o12045574
Hexadecimal	0x284B7C

Divisor Catalog (24)

1 2 4 7 14 28 37 74 148 259 518 1,036 2,549 5,098 10,196 17,843 35,686 71,372 94,313 188,626 377,252 660,191 1,320,382 2,640,764

Collatz Trajectory (125 steps to reach 1)

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

2,640,764 1,320,382 660,191 1,980,574 990,287 2,970,862 1,485,431 4,456,294 2,228,147 6,684,442 3,342,221 10,026,664 5,013,332 2,506,666 1,253,333 3,760,000 1,880,000 940,000 470,000 235,000 117,500 58,750 29,375 88,126 44,063 132,190 66,095 198,286 99,143 297,430 148,715 446,146 223,073 669,220 334,610 167,305 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666 22,333 67,000 33,500 16,750

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