λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,879,930

4,879,930

2 × 5 × 112 × 37 × 109
Abundant Even Composite

4,879,930 factors as 2 × 5 × 11^2 × 37 × 109. Its 48 positive divisors give a proper-divisor sum of 5,126,990, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 37 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,006,920
Proper Divisor Sum 5,126,990
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4879921 ← → #4879937

Radix Representation

Decimal 4879930
Binary 10010100111011000111010 (23 bits)
Octal 0o22473072
Hexadecimal 0x4A763A

Divisor Catalog (48)

1 2 5 10 11 22 37 55 74 109 110 121 185 218 242 370 407 545 605 814 1,090 1,199 1,210 2,035 2,398 4,033 4,070 4,477 5,995 8,066 8,954 11,990 13,189 20,165 22,385 26,378 40,330 44,363 44,770 65,945 88,726 131,890 221,815 443,630 487,993 975,986 2,439,965 4,879,930

Collatz Trajectory (61 steps to reach 1)

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

4,879,930 2,439,965 7,319,896 3,659,948 1,829,974 914,987 2,744,962 1,372,481 4,117,444 2,058,722 1,029,361 3,088,084 1,544,042 772,021 2,316,064 1,158,032 579,016 289,508 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604 45,802 22,901 68,704 34,352 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,879,929 Browse Full Index Next Integer #4,879,931 →