λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,840,705

9,840,705

3 × 5 × 7 × 17 × 37 × 149
Abundant Odd Composite

9,840,705 factors as 3 × 5 × 7 × 17 × 37 × 149. Its 64 positive divisors give a proper-divisor sum of 9,858,495, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 17 × 37 × 149
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,699,200
Proper Divisor Sum 9,858,495
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9840667 ← → #9840707

Radix Representation

Decimal 9840705
Binary 100101100010100001000001 (24 bits)
Octal 0o45424101
Hexadecimal 0x962841

Divisor Catalog (60 of 64)

1 3 5 7 15 17 21 35 37 51 85 105 111 119 149 185 255 259 357 447 555 595 629 745 777 1,043 1,295 1,785 1,887 2,235 2,533 3,129 3,145 3,885 4,403 5,215 5,513 7,599 9,435 12,665 13,209 15,645 16,539 17,731 22,015 27,565 37,995 38,591 53,193 66,045 82,695 88,655 93,721 115,773 192,955 265,965 281,163 468,605 578,865 656,047

Collatz Trajectory (238 steps to reach 1)

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

9,840,705 29,522,116 14,761,058 7,380,529 22,141,588 11,070,794 5,535,397 16,606,192 8,303,096 4,151,548 2,075,774 1,037,887 3,113,662 1,556,831 4,670,494 2,335,247 7,005,742 3,502,871 10,508,614 5,254,307 15,762,922 7,881,461 23,644,384 11,822,192 5,911,096 2,955,548 1,477,774 738,887 2,216,662 1,108,331 3,324,994 1,662,497 4,987,492 2,493,746 1,246,873 3,740,620 1,870,310 935,155 2,805,466 1,402,733 4,208,200 2,104,100 1,052,050 526,025 1,578,076 789,038 394,519 1,183,558 591,779 1,775,338 887,669 2,663,008 1,331,504 665,752 332,876 166,438 83,219 249,658 124,829 374,488

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,840,704 Browse Full Index Next Integer #9,840,706 →