λ
Prime Ledger

4,516,002

2 × 32 × 250889
Abundant Even Composite

4,516,002 has the prime decomposition 2 × 3^2 × 250889. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 250889
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,784,710
Proper Divisor Sum 5,268,708
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4515997 ← → #4516003

Radix Representation

Decimal 4516002
Binary 10001001110100010100010 (23 bits)
Octal 0o21164242
Hexadecimal 0x44E8A2

Divisor Catalog (12)

1 2 3 6 9 18 250,889 501,778 752,667 1,505,334 2,258,001 4,516,002

Collatz Trajectory (242 steps to reach 1)

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

4,516,002 2,258,001 6,774,004 3,387,002 1,693,501 5,080,504 2,540,252 1,270,126 635,063 1,905,190 952,595 2,857,786 1,428,893 4,286,680 2,143,340 1,071,670 535,835 1,607,506 803,753 2,411,260 1,205,630 602,815 1,808,446 904,223 2,712,670 1,356,335 4,069,006 2,034,503 6,103,510 3,051,755 9,155,266 4,577,633 13,732,900 6,866,450 3,433,225 10,299,676 5,149,838 2,574,919 7,724,758 3,862,379 11,587,138 5,793,569 17,380,708 8,690,354 4,345,177 13,035,532 6,517,766 3,258,883 9,776,650 4,888,325 14,664,976 7,332,488 3,666,244 1,833,122 916,561 2,749,684 1,374,842 687,421 2,062,264 1,031,132

More profiles

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