λ
Prime Ledger

2,301,450

2 × 3 × 52 × 67 × 229
Abundant Even Composite

2,301,450 has the prime decomposition 2 × 3 × 5^2 × 67 × 229. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 67 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,818,080
Proper Divisor Sum 3,516,630
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2301421 ← → #2301461

Radix Representation

Decimal 2301450
Binary 1000110001111000001010 (22 bits)
Octal 0o10617012
Hexadecimal 0x231E0A

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 229 335 402 458 670 687 1,005 1,145 1,374 1,675 2,010 2,290 3,350 3,435 5,025 5,725 6,870 10,050 11,450 15,343 17,175 30,686 34,350 46,029 76,715 92,058 153,430 230,145 383,575 460,290 767,150 1,150,725 2,301,450

Collatz Trajectory (192 steps to reach 1)

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

2,301,450 1,150,725 3,452,176 1,726,088 863,044 431,522 215,761 647,284 323,642 161,821 485,464 242,732 121,366 60,683 182,050 91,025 273,076 136,538 68,269 204,808 102,404 51,202 25,601 76,804 38,402 19,201 57,604 28,802 14,401 43,204 21,602 10,801 32,404 16,202 8,101 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435

More profiles

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