2,752,164

2² × 3³ × 17 × 1499

2,752,164 has digital root 9. The neighboring primes are 2752153 and 2752177; its proper-divisor sum differs from the starting integer by 2,055,672.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 1499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,560,000

Proper Divisor Sum 4,807,836

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2752153 ← → #2752177

Radix Representation

Decimal	2752164
Binary	1010011111111010100100 (22 bits)
Octal	0o12377244
Hexadecimal	0x29FEA4

Divisor Catalog (48)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1,499 1,836 2,998 4,497 5,996 8,994 13,491 17,988 25,483 26,982 40,473 50,966 53,964 76,449 80,946 101,932 152,898 161,892 229,347 305,796 458,694 688,041 917,388 1,376,082 2,752,164

Collatz Trajectory (169 steps to reach 1)

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

2,752,164 1,376,082 688,041 2,064,124 1,032,062 516,031 1,548,094 774,047 2,322,142 1,161,071 3,483,214 1,741,607 5,224,822 2,612,411 7,837,234 3,918,617 11,755,852 5,877,926 2,938,963 8,816,890 4,408,445 13,225,336 6,612,668 3,306,334 1,653,167 4,959,502 2,479,751 7,439,254 3,719,627 11,158,882 5,579,441 16,738,324 8,369,162 4,184,581 12,553,744 6,276,872 3,138,436 1,569,218 784,609 2,353,828 1,176,914 588,457 1,765,372 882,686 441,343 1,324,030 662,015 1,986,046 993,023 2,979,070 1,489,535 4,468,606 2,234,303 6,702,910 3,351,455 10,054,366 5,027,183 15,081,550 7,540,775 22,622,326

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