7,021,688

2³ × 233 × 3767

7,021,688 factors as 2^3 × 233 × 3767. Its 16 positive divisors give a proper-divisor sum of 6,203,992, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 233 × 3767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,225,680

Proper Divisor Sum 6,203,992

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7021657 ← → #7021691

Radix Representation

Decimal	7021688
Binary	11010110010010001111000 (23 bits)
Octal	0o32622170
Hexadecimal	0x6B2478

Divisor Catalog (16)

1 2 4 8 233 466 932 1,864 3,767 7,534 15,068 30,136 877,711 1,755,422 3,510,844 7,021,688

Collatz Trajectory (85 steps to reach 1)

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

7,021,688 3,510,844 1,755,422 877,711 2,633,134 1,316,567 3,949,702 1,974,851 5,924,554 2,962,277 8,886,832 4,443,416 2,221,708 1,110,854 555,427 1,666,282 833,141 2,499,424 1,249,712 624,856 312,428 156,214 78,107 234,322 117,161 351,484 175,742 87,871 263,614 131,807 395,422 197,711 593,134 296,567 889,702 444,851 1,334,554 667,277 2,001,832 1,000,916 500,458 250,229 750,688 375,344 187,672 93,836 46,918 23,459 70,378 35,189 105,568 52,784 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424

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