λ
Harmonic Matrix

580,940

22 × 5 × 31 × 937
Abundant Even Composite

580,940 has digital root 8. The neighboring primes are 580939 and 580969; its proper-divisor sum differs from the starting integer by 98,792.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,260,672
Proper Divisor Sum 679,732
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #580939 ← → #580969

Radix Representation

Decimal 580940
Binary 10001101110101001100 (20 bits)
Octal 0o2156514
Hexadecimal 0x8DD4C

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 937 1,874 3,748 4,685 9,370 18,740 29,047 58,094 116,188 145,235 290,470 580,940

Collatz Trajectory (84 steps to reach 1)

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

580,940 290,470 145,235 435,706 217,853 653,560 326,780 163,390 81,695 245,086 122,543 367,630 183,815 551,446 275,723 827,170 413,585 1,240,756 620,378 310,189 930,568 465,284 232,642 116,321 348,964 174,482 87,241 261,724 130,862 65,431 196,294 98,147 294,442 147,221 441,664 220,832 110,416 55,208 27,604 13,802 6,901 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616

More profiles

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