λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,820,344

7,820,344

23 × 7 × 73 × 1913
Abundant Even Composite

7,820,344 factors as 2^3 × 7 × 73 × 1913. Its 32 positive divisors give a proper-divisor sum of 9,175,976, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 73 × 1913
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,996,320
Proper Divisor Sum 9,175,976
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7820321 ← → #7820347

Radix Representation

Decimal 7820344
Binary 11101110101010000111000 (23 bits)
Octal 0o35652070
Hexadecimal 0x775438

Divisor Catalog (32)

1 2 4 7 8 14 28 56 73 146 292 511 584 1,022 1,913 2,044 3,826 4,088 7,652 13,391 15,304 26,782 53,564 107,128 139,649 279,298 558,596 977,543 1,117,192 1,955,086 3,910,172 7,820,344

Collatz Trajectory (93 steps to reach 1)

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

7,820,344 3,910,172 1,955,086 977,543 2,932,630 1,466,315 4,398,946 2,199,473 6,598,420 3,299,210 1,649,605 4,948,816 2,474,408 1,237,204 618,602 309,301 927,904 463,952 231,976 115,988 57,994 28,997 86,992 43,496 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,820,343 Browse Full Index Next Integer #7,820,345 →