λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,690,668

7,690,668

22 × 3 × 19 × 89 × 379
Abundant Even Composite

7,690,668 factors as 2^2 × 3 × 19 × 89 × 379. Its 48 positive divisors give a proper-divisor sum of 11,461,332, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 89 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,152,000
Proper Divisor Sum 11,461,332
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7690663 ← → #7690691

Radix Representation

Decimal 7690668
Binary 11101010101100110101100 (23 bits)
Octal 0o35254654
Hexadecimal 0x7559AC

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 379 534 758 1,068 1,137 1,516 1,691 2,274 3,382 4,548 5,073 6,764 7,201 10,146 14,402 20,292 21,603 28,804 33,731 43,206 67,462 86,412 101,193 134,924 202,386 404,772 640,889 1,281,778 1,922,667 2,563,556 3,845,334 7,690,668

Collatz Trajectory (129 steps to reach 1)

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

7,690,668 3,845,334 1,922,667 5,768,002 2,884,001 8,652,004 4,326,002 2,163,001 6,489,004 3,244,502 1,622,251 4,866,754 2,433,377 7,300,132 3,650,066 1,825,033 5,475,100 2,737,550 1,368,775 4,106,326 2,053,163 6,159,490 3,079,745 9,239,236 4,619,618 2,309,809 6,929,428 3,464,714 1,732,357 5,197,072 2,598,536 1,299,268 649,634 324,817 974,452 487,226 243,613 730,840 365,420 182,710 91,355 274,066 137,033 411,100 205,550 102,775 308,326 154,163 462,490 231,245 693,736 346,868 173,434 86,717 260,152 130,076 65,038 32,519 97,558 48,779

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,690,667 Browse Full Index Next Integer #7,690,669 →