λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,247,315

10,247,315

5 × 132 × 67 × 181
Deficient Odd Composite

10,247,315 factors as 5 × 13^2 × 67 × 181. Its 24 positive divisors give a proper-divisor sum of 3,341,533, so this integer is deficient. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 5 × 13^2 × 67 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,588,848
Proper Divisor Sum 3,341,533
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10247291 ← → #10247317

Radix Representation

Decimal 10247315
Binary 100111000101110010010011 (24 bits)
Octal 0o47056223
Hexadecimal 0x9C5C93

Divisor Catalog (24)

1 5 13 65 67 169 181 335 845 871 905 2,353 4,355 11,323 11,765 12,127 30,589 56,615 60,635 152,945 157,651 788,255 2,049,463 10,247,315

Collatz Trajectory (83 steps to reach 1)

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

10,247,315 30,741,946 15,370,973 46,112,920 23,056,460 11,528,230 5,764,115 17,292,346 8,646,173 25,938,520 12,969,260 6,484,630 3,242,315 9,726,946 4,863,473 14,590,420 7,295,210 3,647,605 10,942,816 5,471,408 2,735,704 1,367,852 683,926 341,963 1,025,890 512,945 1,538,836 769,418 384,709 1,154,128 577,064 288,532 144,266 72,133 216,400 108,200 54,100 27,050 13,525 40,576 20,288 10,144 5,072 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,247,314 Browse Full Index Next Integer #10,247,316 →