λ
Integer Codex

609,042

2 × 3 × 7 × 17 × 853
Abundant Even Composite

For 609,042, the 32 positive divisors have a total of 1,475,712. Removing 609,042 leaves 866,670, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 853
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,475,712
Proper Divisor Sum 866,670
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #608999 ← → #609043

Radix Representation

Decimal 609042
Binary 10010100101100010010 (20 bits)
Octal 0o2245422
Hexadecimal 0x94B12

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 853 1,706 2,559 5,118 5,971 11,942 14,501 17,913 29,002 35,826 43,503 87,006 101,507 203,014 304,521 609,042

Collatz Trajectory (159 steps to reach 1)

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

609,042 304,521 913,564 456,782 228,391 685,174 342,587 1,027,762 513,881 1,541,644 770,822 385,411 1,156,234 578,117 1,734,352 867,176 433,588 216,794 108,397 325,192 162,596 81,298 40,649 121,948 60,974 30,487 91,462 45,731 137,194 68,597 205,792 102,896 51,448 25,724 12,862 6,431 19,294 9,647 28,942 14,471 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644

More profiles

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