λ
Modular Archive

3,444,525

39 × 52 × 7
Abundant Odd Composite

The decimal integer 3,444,525 is 1101001000111100101101 in binary (22 bits), 15107455 in octal and 348F2D in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^9 × 5^2 × 7
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 7,321,952
Proper Divisor Sum 3,877,427
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3444521 ← → #3444527

Radix Representation

Decimal 3444525
Binary 1101001000111100101101 (22 bits)
Octal 0o15107455
Hexadecimal 0x348F2D

Divisor Catalog (60)

1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 729 945 1,215 1,575 1,701 2,025 2,187 2,835 3,645 4,725 5,103 6,075 6,561 8,505 10,935 14,175 15,309 18,225 19,683 25,515 32,805 42,525 45,927 54,675 76,545 98,415 127,575 137,781 164,025 229,635 382,725 492,075 688,905 1,148,175 3,444,525

Collatz Trajectory (58 steps to reach 1)

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

3,444,525 10,333,576 5,166,788 2,583,394 1,291,697 3,875,092 1,937,546 968,773 2,906,320 1,453,160 726,580 363,290 181,645 544,936 272,468 136,234 68,117 204,352 102,176 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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