581,140

2² × 5 × 7² × 593

581,140 has digital root 1. The neighboring primes are 581137 and 581143; its proper-divisor sum differs from the starting integer by 259,756.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,422,036

Proper Divisor Sum 840,896

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #581137 ← → #581143

Radix Representation

Decimal	581140
Binary	10001101111000010100 (20 bits)
Octal	0o2157024
Hexadecimal	0x8DE14

Divisor Catalog (36)

1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 593 980 1,186 2,372 2,965 4,151 5,930 8,302 11,860 16,604 20,755 29,057 41,510 58,114 83,020 116,228 145,285 290,570 581,140

Collatz Trajectory (159 steps to reach 1)

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

581,140 290,570 145,285 435,856 217,928 108,964 54,482 27,241 81,724 40,862 20,431 61,294 30,647 91,942 45,971 137,914 68,957 206,872 103,436 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689

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