7,322,658

2 × 3 × 7² × 24907

7,322,658 factors as 2 × 3 × 7^2 × 24907. Its 24 positive divisors give a proper-divisor sum of 9,714,414, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 24907

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,037,072

Proper Divisor Sum 9,714,414

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7322621 ← → #7322663

Radix Representation

Decimal	7322658
Binary	11011111011110000100010 (23 bits)
Octal	0o33736042
Hexadecimal	0x6FBC22

Divisor Catalog (24)

Collatz Trajectory (204 steps to reach 1)

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

7,322,658 3,661,329 10,983,988 5,491,994 2,745,997 8,237,992 4,118,996 2,059,498 1,029,749 3,089,248 1,544,624 772,312 386,156 193,078 96,539 289,618 144,809 434,428 217,214 108,607 325,822 162,911 488,734 244,367 733,102 366,551 1,099,654 549,827 1,649,482 824,741 2,474,224 1,237,112 618,556 309,278 154,639 463,918 231,959 695,878 347,939 1,043,818 521,909 1,565,728 782,864 391,432 195,716 97,858 48,929 146,788 73,394 36,697 110,092 55,046 27,523 82,570 41,285 123,856 61,928 30,964 15,482 7,741

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