λ
Prime Ledger

3,657,938

2 × 31 × 41 × 1439
Deficient Even Composite

3,657,938 has the prime decomposition 2 × 31 × 41 × 1439. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 41 × 1439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,806,080
Proper Divisor Sum 2,148,142
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3657919 ← → #3657949

Radix Representation

Decimal 3657938
Binary 1101111101000011010010 (22 bits)
Octal 0o15750322
Hexadecimal 0x37D0D2

Divisor Catalog (16)

1 2 31 41 62 82 1,271 1,439 2,542 2,878 44,609 58,999 89,218 117,998 1,828,969 3,657,938

Collatz Trajectory (265 steps to reach 1)

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

3,657,938 1,828,969 5,486,908 2,743,454 1,371,727 4,115,182 2,057,591 6,172,774 3,086,387 9,259,162 4,629,581 13,888,744 6,944,372 3,472,186 1,736,093 5,208,280 2,604,140 1,302,070 651,035 1,953,106 976,553 2,929,660 1,464,830 732,415 2,197,246 1,098,623 3,295,870 1,647,935 4,943,806 2,471,903 7,415,710 3,707,855 11,123,566 5,561,783 16,685,350 8,342,675 25,028,026 12,514,013 37,542,040 18,771,020 9,385,510 4,692,755 14,078,266 7,039,133 21,117,400 10,558,700 5,279,350 2,639,675 7,919,026 3,959,513 11,878,540 5,939,270 2,969,635 8,908,906 4,454,453 13,363,360 6,681,680 3,340,840 1,670,420 835,210

More profiles

← Previous Integer #3,657,937 Browse Full Index Next Integer #3,657,939 →