λ
Prime Ledger

4,978,038

2 × 3 × 13 × 19 × 3359
Abundant Even Composite

4,978,038 has the prime decomposition 2 × 3 × 13 × 19 × 3359. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 19 × 3359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,289,600
Proper Divisor Sum 6,311,562
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4978031 ← → #4978069

Radix Representation

Decimal 4978038
Binary 10010111111010101110110 (23 bits)
Octal 0o22772566
Hexadecimal 0x4BF576

Divisor Catalog (32)

1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1,482 3,359 6,718 10,077 20,154 43,667 63,821 87,334 127,642 131,001 191,463 262,002 382,926 829,673 1,659,346 2,489,019 4,978,038

Collatz Trajectory (237 steps to reach 1)

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

4,978,038 2,489,019 7,467,058 3,733,529 11,200,588 5,600,294 2,800,147 8,400,442 4,200,221 12,600,664 6,300,332 3,150,166 1,575,083 4,725,250 2,362,625 7,087,876 3,543,938 1,771,969 5,315,908 2,657,954 1,328,977 3,986,932 1,993,466 996,733 2,990,200 1,495,100 747,550 373,775 1,121,326 560,663 1,681,990 840,995 2,522,986 1,261,493 3,784,480 1,892,240 946,120 473,060 236,530 118,265 354,796 177,398 88,699 266,098 133,049 399,148 199,574 99,787 299,362 149,681 449,044 224,522 112,261 336,784 168,392 84,196 42,098 21,049 63,148 31,574

More profiles

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