λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,580,145

4,580,145

34 × 5 × 43 × 263
Deficient Odd Composite

4,580,145 factors as 3^4 × 5 × 43 × 263. Its 40 positive divisors give a proper-divisor sum of 3,853,071, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 43 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,433,216
Proper Divisor Sum 3,853,071
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4580143 ← → #4580201

Radix Representation

Decimal 4580145
Binary 10001011110001100110001 (23 bits)
Octal 0o21361461
Hexadecimal 0x45E331

Divisor Catalog (40)

1 3 5 9 15 27 43 45 81 129 135 215 263 387 405 645 789 1,161 1,315 1,935 2,367 3,483 3,945 5,805 7,101 11,309 11,835 17,415 21,303 33,927 35,505 56,545 101,781 106,515 169,635 305,343 508,905 916,029 1,526,715 4,580,145

Collatz Trajectory (224 steps to reach 1)

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

4,580,145 13,740,436 6,870,218 3,435,109 10,305,328 5,152,664 2,576,332 1,288,166 644,083 1,932,250 966,125 2,898,376 1,449,188 724,594 362,297 1,086,892 543,446 271,723 815,170 407,585 1,222,756 611,378 305,689 917,068 458,534 229,267 687,802 343,901 1,031,704 515,852 257,926 128,963 386,890 193,445 580,336 290,168 145,084 72,542 36,271 108,814 54,407 163,222 81,611 244,834 122,417 367,252 183,626 91,813 275,440 137,720 68,860 34,430 17,215 51,646 25,823 77,470 38,735 116,206 58,103 174,310

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,580,144 Browse Full Index Next Integer #4,580,146 →