λ
Match Zalai

4,922,337

3 × 7 × 41 × 5717
Deficient Odd Composite

4,922,337 factors as 3 × 7 × 41 × 5717. Its 16 positive divisors give a proper-divisor sum of 2,762,655, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 5717
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,684,992
Proper Divisor Sum 2,762,655
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4922329 ← → #4922341

Radix Representation

Decimal 4922337
Binary 10010110001101111100001 (23 bits)
Octal 0o22615741
Hexadecimal 0x4B1BE1

Divisor Catalog (16)

1 3 7 21 41 123 287 861 5,717 17,151 40,019 120,057 234,397 703,191 1,640,779 4,922,337

Collatz Trajectory (206 steps to reach 1)

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

4,922,337 14,767,012 7,383,506 3,691,753 11,075,260 5,537,630 2,768,815 8,306,446 4,153,223 12,459,670 6,229,835 18,689,506 9,344,753 28,034,260 14,017,130 7,008,565 21,025,696 10,512,848 5,256,424 2,628,212 1,314,106 657,053 1,971,160 985,580 492,790 246,395 739,186 369,593 1,108,780 554,390 277,195 831,586 415,793 1,247,380 623,690 311,845 935,536 467,768 233,884 116,942 58,471 175,414 87,707 263,122 131,561 394,684 197,342 98,671 296,014 148,007 444,022 222,011 666,034 333,017 999,052 499,526 249,763 749,290 374,645 1,123,936

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