λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,076,656

10,076,656

24 × 389 × 1619
Deficient Even Composite

10,076,656 factors as 2^4 × 389 × 1619. Its 20 positive divisors give a proper-divisor sum of 9,509,144, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 389 × 1619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 19,585,800
Proper Divisor Sum 9,509,144
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #10076653 ← → #10076681

Radix Representation

Decimal 10076656
Binary 100110011100000111110000 (24 bits)
Octal 0o46340760
Hexadecimal 0x99C1F0

Divisor Catalog (20)

1 2 4 8 16 389 778 1,556 1,619 3,112 3,238 6,224 6,476 12,952 25,904 629,791 1,259,582 2,519,164 5,038,328 10,076,656

Collatz Trajectory (114 steps to reach 1)

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

10,076,656 5,038,328 2,519,164 1,259,582 629,791 1,889,374 944,687 2,834,062 1,417,031 4,251,094 2,125,547 6,376,642 3,188,321 9,564,964 4,782,482 2,391,241 7,173,724 3,586,862 1,793,431 5,380,294 2,690,147 8,070,442 4,035,221 12,105,664 6,052,832 3,026,416 1,513,208 756,604 378,302 189,151 567,454 283,727 851,182 425,591 1,276,774 638,387 1,915,162 957,581 2,872,744 1,436,372 718,186 359,093 1,077,280 538,640 269,320 134,660 67,330 33,665 100,996 50,498 25,249 75,748 37,874 18,937 56,812 28,406 14,203 42,610 21,305 63,916

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,076,655 Browse Full Index Next Integer #10,076,657 →