λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,749,022

9,749,022

2 × 3 × 47 × 181 × 191
Abundant Even Composite

9,749,022 factors as 2 × 3 × 47 × 181 × 191. Its 32 positive divisors give a proper-divisor sum of 10,378,722, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 181 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,127,744
Proper Divisor Sum 10,378,722
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9748997 ← → #9749023

Radix Representation

Decimal 9749022
Binary 100101001100001000011110 (24 bits)
Octal 0o45141036
Hexadecimal 0x94C21E

Divisor Catalog (32)

1 2 3 6 47 94 141 181 191 282 362 382 543 573 1,086 1,146 8,507 8,977 17,014 17,954 25,521 26,931 34,571 51,042 53,862 69,142 103,713 207,426 1,624,837 3,249,674 4,874,511 9,749,022

Collatz Trajectory (207 steps to reach 1)

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

9,749,022 4,874,511 14,623,534 7,311,767 21,935,302 10,967,651 32,902,954 16,451,477 49,354,432 24,677,216 12,338,608 6,169,304 3,084,652 1,542,326 771,163 2,313,490 1,156,745 3,470,236 1,735,118 867,559 2,602,678 1,301,339 3,904,018 1,952,009 5,856,028 2,928,014 1,464,007 4,392,022 2,196,011 6,588,034 3,294,017 9,882,052 4,941,026 2,470,513 7,411,540 3,705,770 1,852,885 5,558,656 2,779,328 1,389,664 694,832 347,416 173,708 86,854 43,427 130,282 65,141 195,424 97,712 48,856 24,428 12,214 6,107 18,322 9,161 27,484 13,742 6,871 20,614 10,307

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,749,021 Browse Full Index Next Integer #9,749,023 →