λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,831,442

4,831,442

2 × 7 × 11 × 137 × 229
Deficient Even Composite

4,831,442 factors as 2 × 7 × 11 × 137 × 229. Its 32 positive divisors give a proper-divisor sum of 4,309,678, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 137 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,141,120
Proper Divisor Sum 4,309,678
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4831441 ← → #4831457

Radix Representation

Decimal 4831442
Binary 10010011011100011010010 (23 bits)
Octal 0o22334322
Hexadecimal 0x49B8D2

Divisor Catalog (32)

1 2 7 11 14 22 77 137 154 229 274 458 959 1,507 1,603 1,918 2,519 3,014 3,206 5,038 10,549 17,633 21,098 31,373 35,266 62,746 219,611 345,103 439,222 690,206 2,415,721 4,831,442

Collatz Trajectory (149 steps to reach 1)

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

4,831,442 2,415,721 7,247,164 3,623,582 1,811,791 5,435,374 2,717,687 8,153,062 4,076,531 12,229,594 6,114,797 18,344,392 9,172,196 4,586,098 2,293,049 6,879,148 3,439,574 1,719,787 5,159,362 2,579,681 7,739,044 3,869,522 1,934,761 5,804,284 2,902,142 1,451,071 4,353,214 2,176,607 6,529,822 3,264,911 9,794,734 4,897,367 14,692,102 7,346,051 22,038,154 11,019,077 33,057,232 16,528,616 8,264,308 4,132,154 2,066,077 6,198,232 3,099,116 1,549,558 774,779 2,324,338 1,162,169 3,486,508 1,743,254 871,627 2,614,882 1,307,441 3,922,324 1,961,162 980,581 2,941,744 1,470,872 735,436 367,718 183,859

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,831,441 Browse Full Index Next Integer #4,831,443 →