λ
Modular Archive

3,471,104

28 × 7 × 13 × 149
Abundant Even Composite

The decimal integer 3,471,104 is 1101001111011100000000 in binary (22 bits), 15173400 in octal and 34F700 in hexadecimal. Its digit sum is 20.

Prime Factor Structure

Factorization String 2^8 × 7 × 13 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 8,584,800
Proper Divisor Sum 5,113,696
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3471103 ← → #3471121

Radix Representation

Decimal 3471104
Binary 1101001111011100000000 (22 bits)
Octal 0o15173400
Hexadecimal 0x34F700

Divisor Catalog (60 of 72)

1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 149 182 208 224 256 298 364 416 448 596 728 832 896 1,043 1,192 1,456 1,664 1,792 1,937 2,086 2,384 2,912 3,328 3,874 4,172 4,768 5,824 7,748 8,344 9,536 11,648 13,559 15,496 16,688 19,072 23,296 27,118 30,992 33,376 38,144 54,236 61,984

Collatz Trajectory (97 steps to reach 1)

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

3,471,104 1,735,552 867,776 433,888 216,944 108,472 54,236 27,118 13,559 40,678 20,339 61,018 30,509 91,528 45,764 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614

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