λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,208,970

7,208,970

2 × 3 × 5 × 103 × 2333
Abundant Even Composite

7,208,970 factors as 2 × 3 × 5 × 103 × 2333. Its 32 positive divisors give a proper-divisor sum of 10,268,022, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 103 × 2333
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,476,992
Proper Divisor Sum 10,268,022
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7208951 ← → #7208977

Radix Representation

Decimal 7208970
Binary 11011100000000000001010 (23 bits)
Octal 0o33400012
Hexadecimal 0x6E000A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 103 206 309 515 618 1,030 1,545 2,333 3,090 4,666 6,999 11,665 13,998 23,330 34,995 69,990 240,299 480,598 720,897 1,201,495 1,441,794 2,402,990 3,604,485 7,208,970

Collatz Trajectory (235 steps to reach 1)

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

7,208,970 3,604,485 10,813,456 5,406,728 2,703,364 1,351,682 675,841 2,027,524 1,013,762 506,881 1,520,644 760,322 380,161 1,140,484 570,242 285,121 855,364 427,682 213,841 641,524 320,762 160,381 481,144 240,572 120,286 60,143 180,430 90,215 270,646 135,323 405,970 202,985 608,956 304,478 152,239 456,718 228,359 685,078 342,539 1,027,618 513,809 1,541,428 770,714 385,357 1,156,072 578,036 289,018 144,509 433,528 216,764 108,382 54,191 162,574 81,287 243,862 121,931 365,794 182,897 548,692 274,346

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,208,969 Browse Full Index Next Integer #7,208,971 →