λ
Modular Archive

3,428,625

3 × 53 × 41 × 223
Deficient Odd Composite

The decimal integer 3,428,625 is 1101000101000100010001 in binary (22 bits), 15050421 in octal and 345111 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 3 × 5^3 × 41 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,870,592
Proper Divisor Sum 2,441,967
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3428617 ← → #3428651

Radix Representation

Decimal 3428625
Binary 1101000101000100010001 (22 bits)
Octal 0o15050421
Hexadecimal 0x345111

Divisor Catalog (32)

1 3 5 15 25 41 75 123 125 205 223 375 615 669 1,025 1,115 3,075 3,345 5,125 5,575 9,143 15,375 16,725 27,429 27,875 45,715 83,625 137,145 228,575 685,725 1,142,875 3,428,625

Collatz Trajectory (128 steps to reach 1)

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

3,428,625 10,285,876 5,142,938 2,571,469 7,714,408 3,857,204 1,928,602 964,301 2,892,904 1,446,452 723,226 361,613 1,084,840 542,420 271,210 135,605 406,816 203,408 101,704 50,852 25,426 12,713 38,140 19,070 9,535 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752

More profiles

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