λ
Modular Archive

4,471,704

23 × 32 × 173 × 359
Abundant Even Composite

The decimal integer 4,471,704 is 10001000011101110011000 in binary (23 bits), 21035630 in octal and 443B98 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 173 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,214,800
Proper Divisor Sum 7,743,096
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4471693 ← → #4471711

Radix Representation

Decimal 4471704
Binary 10001000011101110011000 (23 bits)
Octal 0o21035630
Hexadecimal 0x443B98

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 173 346 359 519 692 718 1,038 1,077 1,384 1,436 1,557 2,076 2,154 2,872 3,114 3,231 4,152 4,308 6,228 6,462 8,616 12,456 12,924 25,848 62,107 124,214 186,321 248,428 372,642 496,856 558,963 745,284 1,117,926 1,490,568 2,235,852 4,471,704

Collatz Trajectory (87 steps to reach 1)

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

4,471,704 2,235,852 1,117,926 558,963 1,676,890 838,445 2,515,336 1,257,668 628,834 314,417 943,252 471,626 235,813 707,440 353,720 176,860 88,430 44,215 132,646 66,323 198,970 99,485 298,456 149,228 74,614 37,307 111,922 55,961 167,884 83,942 41,971 125,914 62,957 188,872 94,436 47,218 23,609 70,828 35,414 17,707 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788

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