λ
Modular Archive

3,734,315

5 × 13 × 73 × 787
Deficient Odd Composite

The decimal integer 3,734,315 is 1110001111101100101011 in binary (22 bits), 16175453 in octal and 38FB2B in hexadecimal. Its digit sum is 26.

Prime Factor Structure

Factorization String 5 × 13 × 73 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,898,208
Proper Divisor Sum 1,163,893
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3734293 ← → #3734323

Radix Representation

Decimal 3734315
Binary 1110001111101100101011 (22 bits)
Octal 0o16175453
Hexadecimal 0x38FB2B

Divisor Catalog (16)

1 5 13 65 73 365 787 949 3,935 4,745 10,231 51,155 57,451 287,255 746,863 3,734,315

Collatz Trajectory (172 steps to reach 1)

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

3,734,315 11,202,946 5,601,473 16,804,420 8,402,210 4,201,105 12,603,316 6,301,658 3,150,829 9,452,488 4,726,244 2,363,122 1,181,561 3,544,684 1,772,342 886,171 2,658,514 1,329,257 3,987,772 1,993,886 996,943 2,990,830 1,495,415 4,486,246 2,243,123 6,729,370 3,364,685 10,094,056 5,047,028 2,523,514 1,261,757 3,785,272 1,892,636 946,318 473,159 1,419,478 709,739 2,129,218 1,064,609 3,193,828 1,596,914 798,457 2,395,372 1,197,686 598,843 1,796,530 898,265 2,694,796 1,347,398 673,699 2,021,098 1,010,549 3,031,648 1,515,824 757,912 378,956 189,478 94,739 284,218 142,109

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