967,580

2² × 5 × 101 × 479

967,580 has digital root 8. The neighboring primes are 967567 and 967583; its proper-divisor sum differs from the starting integer by 121,160.

Prime Factor Structure

Factorization String 2^2 × 5 × 101 × 479

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,056,320

Proper Divisor Sum 1,088,740

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #967567 ← → #967583

Radix Representation

Decimal	967580
Binary	11101100001110011100 (20 bits)
Octal	0o3541634
Hexadecimal	0xEC39C

Divisor Catalog (24)

1 2 4 5 10 20 101 202 404 479 505 958 1,010 1,916 2,020 2,395 4,790 9,580 48,379 96,758 193,516 241,895 483,790 967,580

Collatz Trajectory (126 steps to reach 1)

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

967,580 483,790 241,895 725,686 362,843 1,088,530 544,265 1,632,796 816,398 408,199 1,224,598 612,299 1,836,898 918,449 2,755,348 1,377,674 688,837 2,066,512 1,033,256 516,628 258,314 129,157 387,472 193,736 96,868 48,434 24,217 72,652 36,326 18,163 54,490 27,245 81,736 40,868 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830

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