λ
Modular Archive

3,784,725

35 × 52 × 7 × 89
Abundant Odd Composite

The decimal integer 3,784,725 is 1110011100000000010101 in binary (22 bits), 16340025 in octal and 39C015 in hexadecimal. Its digit sum is 36.

Prime Factor Structure

Factorization String 3^5 × 5^2 × 7 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 8,124,480
Proper Divisor Sum 4,339,755
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3784723 ← → #3784733

Radix Representation

Decimal 3784725
Binary 1110011100000000010101 (22 bits)
Octal 0o16340025
Hexadecimal 0x39C015

Divisor Catalog (60 of 72)

1 3 5 7 9 15 21 25 27 35 45 63 75 81 89 105 135 175 189 225 243 267 315 405 445 525 567 623 675 801 945 1,215 1,335 1,575 1,701 1,869 2,025 2,225 2,403 2,835 3,115 4,005 4,725 5,607 6,075 6,675 7,209 8,505 9,345 12,015 14,175 15,575 16,821 20,025 21,627 28,035 36,045 42,525 46,725 50,463

Collatz Trajectory (216 steps to reach 1)

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

3,784,725 11,354,176 5,677,088 2,838,544 1,419,272 709,636 354,818 177,409 532,228 266,114 133,057 399,172 199,586 99,793 299,380 149,690 74,845 224,536 112,268 56,134 28,067 84,202 42,101 126,304 63,152 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009

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