426,416

2⁴ × 29 × 919

For 426,416, the 20 positive divisors have a total of 855,600. Removing 426,416 leaves 429,184, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 29 × 919

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 855,600

Proper Divisor Sum 429,184

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #426407 ← → #426421

Radix Representation

Decimal	426416
Binary	1101000000110110000 (19 bits)
Octal	0o1500660
Hexadecimal	0x681B0

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 919 1,838 3,676 7,352 14,704 26,651 53,302 106,604 213,208 426,416

Collatz Trajectory (81 steps to reach 1)

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

426,416 213,208 106,604 53,302 26,651 79,954 39,977 119,932 59,966 29,983 89,950 44,975 134,926 67,463 202,390 101,195 303,586 151,793 455,380 227,690 113,845 341,536 170,768 85,384 42,692 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76

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