2,671,584

2⁵ × 3 × 17 × 1637

2,671,584 has digital root 6. The neighboring primes are 2671583 and 2671589; its proper-divisor sum differs from the starting integer by 2,086,800.

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 1637

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,429,968

Proper Divisor Sum 4,758,384

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2671583 ← → #2671589

Radix Representation

Decimal	2671584
Binary	1010001100001111100000 (22 bits)
Octal	0o12141740
Hexadecimal	0x28C3E0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1,632 1,637 3,274 4,911 6,548 9,822 13,096 19,644 26,192 27,829 39,288 52,384 55,658 78,576 83,487 111,316 157,152 166,974 222,632 333,948 445,264 667,896 890,528 1,335,792 2,671,584

Collatz Trajectory (94 steps to reach 1)

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

2,671,584 1,335,792 667,896 333,948 166,974 83,487 250,462 125,231 375,694 187,847 563,542 281,771 845,314 422,657 1,267,972 633,986 316,993 950,980 475,490 237,745 713,236 356,618 178,309 534,928 267,464 133,732 66,866 33,433 100,300 50,150 25,075 75,226 37,613 112,840 56,420 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949

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