λ
Sequence Observatory

4,980,036

22 × 3 × 223 × 1861
Abundant Even Composite

Starting at 4,980,036, the Collatz iteration reaches 1 after 113 steps. The first transition is 2490018; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 223 × 1861
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,678,464
Proper Divisor Sum 6,698,428
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4979999 ← → #4980047

Radix Representation

Decimal 4980036
Binary 10010111111110101000100 (23 bits)
Octal 0o22776504
Hexadecimal 0x4BFD44

Divisor Catalog (24)

1 2 3 4 6 12 223 446 669 892 1,338 1,861 2,676 3,722 5,583 7,444 11,166 22,332 415,003 830,006 1,245,009 1,660,012 2,490,018 4,980,036

Collatz Trajectory (113 steps to reach 1)

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

4,980,036 2,490,018 1,245,009 3,735,028 1,867,514 933,757 2,801,272 1,400,636 700,318 350,159 1,050,478 525,239 1,575,718 787,859 2,363,578 1,181,789 3,545,368 1,772,684 886,342 443,171 1,329,514 664,757 1,994,272 997,136 498,568 249,284 124,642 62,321 186,964 93,482 46,741 140,224 70,112 35,056 17,528 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272

More profiles

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