λ
Sequence Observatory

4,630,802

2 × 11 × 210491
Deficient Even Composite

Starting at 4,630,802, the Collatz iteration reaches 1 after 255 steps. The first transition is 2315401; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 210491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,577,712
Proper Divisor Sum 2,946,910
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4630789 ← → #4630831

Radix Representation

Decimal 4630802
Binary 10001101010100100010010 (23 bits)
Octal 0o21524422
Hexadecimal 0x46A912

Divisor Catalog (8)

1 2 11 22 210,491 420,982 2,315,401 4,630,802

Collatz Trajectory (255 steps to reach 1)

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

4,630,802 2,315,401 6,946,204 3,473,102 1,736,551 5,209,654 2,604,827 7,814,482 3,907,241 11,721,724 5,860,862 2,930,431 8,791,294 4,395,647 13,186,942 6,593,471 19,780,414 9,890,207 29,670,622 14,835,311 44,505,934 22,252,967 66,758,902 33,379,451 100,138,354 50,069,177 150,207,532 75,103,766 37,551,883 112,655,650 56,327,825 168,983,476 84,491,738 42,245,869 126,737,608 63,368,804 31,684,402 15,842,201 47,526,604 23,763,302 11,881,651 35,644,954 17,822,477 53,467,432 26,733,716 13,366,858 6,683,429 20,050,288 10,025,144 5,012,572 2,506,286 1,253,143 3,759,430 1,879,715 5,639,146 2,819,573 8,458,720 4,229,360 2,114,680 1,057,340

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