λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,245,339

10,245,339

33 × 13 × 172 × 101
Deficient Odd Composite

10,245,339 factors as 3^3 × 13 × 17^2 × 101. Its 48 positive divisors give a proper-divisor sum of 7,290,501, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 3^3 × 13 × 17^2 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,535,840
Proper Divisor Sum 7,290,501
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10245329 ← → #10245341

Radix Representation

Decimal 10245339
Binary 100111000101010011011011 (24 bits)
Octal 0o47052333
Hexadecimal 0x9C54DB

Divisor Catalog (48)

1 3 9 13 17 27 39 51 101 117 153 221 289 303 351 459 663 867 909 1,313 1,717 1,989 2,601 2,727 3,757 3,939 5,151 5,967 7,803 11,271 11,817 15,453 22,321 29,189 33,813 35,451 46,359 66,963 87,567 101,439 200,889 262,701 379,457 602,667 788,103 1,138,371 3,415,113 10,245,339

Collatz Trajectory (127 steps to reach 1)

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

10,245,339 30,736,018 15,368,009 46,104,028 23,052,014 11,526,007 34,578,022 17,289,011 51,867,034 25,933,517 77,800,552 38,900,276 19,450,138 9,725,069 29,175,208 14,587,604 7,293,802 3,646,901 10,940,704 5,470,352 2,735,176 1,367,588 683,794 341,897 1,025,692 512,846 256,423 769,270 384,635 1,153,906 576,953 1,730,860 865,430 432,715 1,298,146 649,073 1,947,220 973,610 486,805 1,460,416 730,208 365,104 182,552 91,276 45,638 22,819 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,245,338 Browse Full Index Next Integer #10,245,340 →