864,164

2² × 7² × 4409

864,164 has digital root 2. The neighboring primes are 864151 and 864167; its proper-divisor sum differs from the starting integer by 31,262.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 4409

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,759,590

Proper Divisor Sum 895,426

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #864151 ← → #864167

Radix Representation

Decimal	864164
Binary	11010010111110100100 (20 bits)
Octal	0o3227644
Hexadecimal	0xD2FA4

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 4,409 8,818 17,636 30,863 61,726 123,452 216,041 432,082 864,164

Collatz Trajectory (95 steps to reach 1)

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

864,164 432,082 216,041 648,124 324,062 162,031 486,094 243,047 729,142 364,571 1,093,714 546,857 1,640,572 820,286 410,143 1,230,430 615,215 1,845,646 922,823 2,768,470 1,384,235 4,152,706 2,076,353 6,229,060 3,114,530 1,557,265 4,671,796 2,335,898 1,167,949 3,503,848 1,751,924 875,962 437,981 1,313,944 656,972 328,486 164,243 492,730 246,365 739,096 369,548 184,774 92,387 277,162 138,581 415,744 207,872 103,936 51,968 25,984 12,992 6,496 3,248 1,624 812 406 203 610 305 916

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