λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,765,460

9,765,460

22 × 5 × 29 × 113 × 149
Abundant Even Composite

9,765,460 factors as 2^2 × 5 × 29 × 113 × 149. Its 48 positive divisors give a proper-divisor sum of 11,780,540, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 113 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,546,000
Proper Divisor Sum 11,780,540
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9765443 ← → #9765461

Radix Representation

Decimal 9765460
Binary 100101010000001001010100 (24 bits)
Octal 0o45201124
Hexadecimal 0x950254

Divisor Catalog (48)

1 2 4 5 10 20 29 58 113 116 145 149 226 290 298 452 565 580 596 745 1,130 1,490 2,260 2,980 3,277 4,321 6,554 8,642 13,108 16,385 16,837 17,284 21,605 32,770 33,674 43,210 65,540 67,348 84,185 86,420 168,370 336,740 488,273 976,546 1,953,092 2,441,365 4,882,730 9,765,460

Collatz Trajectory (62 steps to reach 1)

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

9,765,460 4,882,730 2,441,365 7,324,096 3,662,048 1,831,024 915,512 457,756 228,878 114,439 343,318 171,659 514,978 257,489 772,468 386,234 193,117 579,352 289,676 144,838 72,419 217,258 108,629 325,888 162,944 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,765,459 Browse Full Index Next Integer #9,765,461 →