λ
Modular Archive

431,488

27 × 3371
Deficient Even Composite

The decimal integer 431,488 is 1101001010110000000 in binary (19 bits), 1512600 in octal and 69580 in hexadecimal. Its digit sum is 28.

Prime Factor Structure

Factorization String 2^7 × 3371
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 859,860
Proper Divisor Sum 428,372
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #431479 ← → #431513

Radix Representation

Decimal 431488
Binary 1101001010110000000 (19 bits)
Octal 0o1512600
Hexadecimal 0x69580

Divisor Catalog (16)

1 2 4 8 16 32 64 128 3,371 6,742 13,484 26,968 53,936 107,872 215,744 431,488

Collatz Trajectory (81 steps to reach 1)

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

431,488 215,744 107,872 53,936 26,968 13,484 6,742 3,371 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77

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