λ
Modular Archive

3,704,380

22 × 5 × 23 × 8053
Abundant Even Composite

The decimal integer 3,704,380 is 1110001000011000111100 in binary (22 bits), 16103074 in octal and 38863C in hexadecimal. Its digit sum is 25.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 8053
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,118,432
Proper Divisor Sum 4,414,052
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3704369 ← → #3704381

Radix Representation

Decimal 3704380
Binary 1110001000011000111100 (22 bits)
Octal 0o16103074
Hexadecimal 0x38863C

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 8,053 16,106 32,212 40,265 80,530 161,060 185,219 370,438 740,876 926,095 1,852,190 3,704,380

Collatz Trajectory (172 steps to reach 1)

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

3,704,380 1,852,190 926,095 2,778,286 1,389,143 4,167,430 2,083,715 6,251,146 3,125,573 9,376,720 4,688,360 2,344,180 1,172,090 586,045 1,758,136 879,068 439,534 219,767 659,302 329,651 988,954 494,477 1,483,432 741,716 370,858 185,429 556,288 278,144 139,072 69,536 34,768 17,384 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109

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