λ
Sequence Observatory

4,980,087

32 × 7 × 137 × 577
Deficient Odd Composite

Starting at 4,980,087, the Collatz iteration reaches 1 after 113 steps. The first transition is 14940262; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 137 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,295,456
Proper Divisor Sum 3,315,369
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4980067 ← → #4980097

Radix Representation

Decimal 4980087
Binary 10010111111110101110111 (23 bits)
Octal 0o22776567
Hexadecimal 0x4BFD77

Divisor Catalog (24)

1 3 7 9 21 63 137 411 577 959 1,233 1,731 2,877 4,039 5,193 8,631 12,117 36,351 79,049 237,147 553,343 711,441 1,660,029 4,980,087

Collatz Trajectory (113 steps to reach 1)

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

4,980,087 14,940,262 7,470,131 22,410,394 11,205,197 33,615,592 16,807,796 8,403,898 4,201,949 12,605,848 6,302,924 3,151,462 1,575,731 4,727,194 2,363,597 7,090,792 3,545,396 1,772,698 886,349 2,659,048 1,329,524 664,762 332,381 997,144 498,572 249,286 124,643 373,930 186,965 560,896 280,448 140,224 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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