λ
Modular Archive

7,421,013

32 × 29 × 28433
Deficient Odd Composite

The decimal integer 7,421,013 is 11100010011110001010101 in binary (23 bits), 34236125 in octal and 713C55 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 3^2 × 29 × 28433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,089,260
Proper Divisor Sum 3,668,247
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7421009 ← → #7421017

Radix Representation

Decimal 7421013
Binary 11100010011110001010101 (23 bits)
Octal 0o34236125
Hexadecimal 0x713C55

Divisor Catalog (12)

1 3 9 29 87 261 28,433 85,299 255,897 824,557 2,473,671 7,421,013

Collatz Trajectory (129 steps to reach 1)

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

7,421,013 22,263,040 11,131,520 5,565,760 2,782,880 1,391,440 695,720 347,860 173,930 86,965 260,896 130,448 65,224 32,612 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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