829,460

2² × 5 × 67 × 619

829,460 has the prime decomposition 2^2 × 5 × 67 × 619. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 67 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,770,720

Proper Divisor Sum 941,260

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #829457 ← → #829463

Radix Representation

Decimal	829460
Binary	11001010100000010100 (20 bits)
Octal	0o3124024
Hexadecimal	0xCA814

Divisor Catalog (24)

1 2 4 5 10 20 67 134 268 335 619 670 1,238 1,340 2,476 3,095 6,190 12,380 41,473 82,946 165,892 207,365 414,730 829,460

Collatz Trajectory (250 steps to reach 1)

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

829,460 414,730 207,365 622,096 311,048 155,524 77,762 38,881 116,644 58,322 29,161 87,484 43,742 21,871 65,614 32,807 98,422 49,211 147,634 73,817 221,452 110,726 55,363 166,090 83,045 249,136 124,568 62,284 31,142 15,571 46,714 23,357 70,072 35,036 17,518 8,759 26,278 13,139 39,418 19,709 59,128 29,564 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576

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