λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,764,600

9,764,600

23 × 52 × 48823
Abundant Even Composite

9,764,600 factors as 2^3 × 5^2 × 48823. Its 24 positive divisors give a proper-divisor sum of 12,938,560, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 48823
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,703,160
Proper Divisor Sum 12,938,560
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9764591 ← → #9764603

Radix Representation

Decimal 9764600
Binary 100101001111111011111000 (24 bits)
Octal 0o45177370
Hexadecimal 0x94FEF8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 48,823 97,646 195,292 244,115 390,584 488,230 976,460 1,220,575 1,952,920 2,441,150 4,882,300 9,764,600

Collatz Trajectory (225 steps to reach 1)

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

9,764,600 4,882,300 2,441,150 1,220,575 3,661,726 1,830,863 5,492,590 2,746,295 8,238,886 4,119,443 12,358,330 6,179,165 18,537,496 9,268,748 4,634,374 2,317,187 6,951,562 3,475,781 10,427,344 5,213,672 2,606,836 1,303,418 651,709 1,955,128 977,564 488,782 244,391 733,174 366,587 1,099,762 549,881 1,649,644 824,822 412,411 1,237,234 618,617 1,855,852 927,926 463,963 1,391,890 695,945 2,087,836 1,043,918 521,959 1,565,878 782,939 2,348,818 1,174,409 3,523,228 1,761,614 880,807 2,642,422 1,321,211 3,963,634 1,981,817 5,945,452 2,972,726 1,486,363 4,459,090 2,229,545

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,764,599 Browse Full Index Next Integer #9,764,601 →