λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,523,134

4,523,134

2 × 7 × 11 × 23 × 1277
Deficient Even Composite

4,523,134 factors as 2 × 7 × 11 × 23 × 1277. Its 32 positive divisors give a proper-divisor sum of 4,310,402, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 23 × 1277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,833,536
Proper Divisor Sum 4,310,402
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4523107 ← → #4523137

Radix Representation

Decimal 4523134
Binary 10001010000010001111110 (23 bits)
Octal 0o21202176
Hexadecimal 0x45047E

Divisor Catalog (32)

1 2 7 11 14 22 23 46 77 154 161 253 322 506 1,277 1,771 2,554 3,542 8,939 14,047 17,878 28,094 29,371 58,742 98,329 196,658 205,597 323,081 411,194 646,162 2,261,567 4,523,134

Collatz Trajectory (255 steps to reach 1)

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

4,523,134 2,261,567 6,784,702 3,392,351 10,177,054 5,088,527 15,265,582 7,632,791 22,898,374 11,449,187 34,347,562 17,173,781 51,521,344 25,760,672 12,880,336 6,440,168 3,220,084 1,610,042 805,021 2,415,064 1,207,532 603,766 301,883 905,650 452,825 1,358,476 679,238 339,619 1,018,858 509,429 1,528,288 764,144 382,072 191,036 95,518 47,759 143,278 71,639 214,918 107,459 322,378 161,189 483,568 241,784 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010 102,005 306,016 153,008 76,504 38,252 19,126 9,563 28,690

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,523,133 Browse Full Index Next Integer #4,523,135 →