λ
Harmonic Matrix

674,724

22 × 3 × 59 × 953
Abundant Even Composite

674,724 has digital root 3. The neighboring primes are 674719 and 674731; its proper-divisor sum differs from the starting integer by 253,272.

Prime Factor Structure

Factorization String 2^2 × 3 × 59 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,602,720
Proper Divisor Sum 927,996
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #674719 ← → #674731

Radix Representation

Decimal 674724
Binary 10100100101110100100 (20 bits)
Octal 0o2445644
Hexadecimal 0xA4BA4

Divisor Catalog (24)

1 2 3 4 6 12 59 118 177 236 354 708 953 1,906 2,859 3,812 5,718 11,436 56,227 112,454 168,681 224,908 337,362 674,724

Collatz Trajectory (92 steps to reach 1)

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

674,724 337,362 168,681 506,044 253,022 126,511 379,534 189,767 569,302 284,651 853,954 426,977 1,280,932 640,466 320,233 960,700 480,350 240,175 720,526 360,263 1,080,790 540,395 1,621,186 810,593 2,431,780 1,215,890 607,945 1,823,836 911,918 455,959 1,367,878 683,939 2,051,818 1,025,909 3,077,728 1,538,864 769,432 384,716 192,358 96,179 288,538 144,269 432,808 216,404 108,202 54,101 162,304 81,152 40,576 20,288 10,144 5,072 2,536 1,268 634 317 952 476 238 119

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