λ
Integer Codex

452,454

2 × 3 × 73 × 1033
Abundant Even Composite

For 452,454, the 16 positive divisors have a total of 918,192. Removing 452,454 leaves 465,738, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 73 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 918,192
Proper Divisor Sum 465,738
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #452453 ← → #452497

Radix Representation

Decimal 452454
Binary 1101110011101100110 (19 bits)
Octal 0o1563546
Hexadecimal 0x6E766

Divisor Catalog (16)

1 2 3 6 73 146 219 438 1,033 2,066 3,099 6,198 75,409 150,818 226,227 452,454

Collatz Trajectory (107 steps to reach 1)

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

452,454 226,227 678,682 339,341 1,018,024 509,012 254,506 127,253 381,760 190,880 95,440 47,720 23,860 11,930 5,965 17,896 8,948 4,474 2,237 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481

More profiles

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