λ
Harmonic Matrix

453,126

2 × 3 × 75521
Abundant Even Composite

453,126 has digital root 3. The neighboring primes are 453119 and 453133; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 75521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 906,264
Proper Divisor Sum 453,138
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #453119 ← → #453133

Radix Representation

Decimal 453126
Binary 1101110101000000110 (19 bits)
Octal 0o1565006
Hexadecimal 0x6EA06

Divisor Catalog (8)

1 2 3 6 75,521 151,042 226,563 453,126

Collatz Trajectory (107 steps to reach 1)

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

453,126 226,563 679,690 339,845 1,019,536 509,768 254,884 127,442 63,721 191,164 95,582 47,791 143,374 71,687 215,062 107,531 322,594 161,297 483,892 241,946 120,973 362,920 181,460 90,730 45,365 136,096 68,048 34,024 17,012 8,506 4,253 12,760 6,380 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

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